57,259 research outputs found
On multiplicities of simple subquotients in generalized Verma modules
No full textsummary:We reduce the problem on multiplicities of simple subquotients in an -stratified generalized Verma module to the analogous problem for classical Verma modules
Lepiota albofloccosa M. Ahamed, A. K. Dutta, K. Verma & Y. P. Sharma 2023, sp. nov.
No full text<i>Lepiota albofloccosa</i> M. Ahamed, A.K. Dutta, K. Verma & Y.P. Sharma <i>sp. nov.</i> Figures 3, 4. <p>MycoBank:—MB 847336</p> <p> Diagnosis:—Differs from all other species by its medium-sized basidiomata, snow-white pileus with smooth brownish yellow umbo and scaly to cottony surface covered with floccose velar remnants, pale yellowish stipe covered by floccose to fibrillose scales; fusiform to cylindrical, slightly thick-walled, dextrinoid basidiospores, a trichodermtype pileus covering composed of elongate, narrowly clavate to subcylindrical terminal hyphae, presence of clamp-connections in all tissues, and its occurrence on debris of <i>Picea smithiana</i> needles.</p> <p> Type:— India, Jammu and Kashmir: Doda district, Gandoh, Bhalessa, under <i>Picea simithiana</i> (Wall.) Boiss. at 33°01′02.9″N, 76°03′38.3″E, alt. 3142 m, 11 August 2022, <i>Masood Ahamed</i> and <i>Yash Pal Sharma</i>, holotype, GenBank: ITS-rDNA OP954870, LSU-rDNA OP954873, HBJU /M/1 (MAA-01).</p> <p> Etymology:—‘ <i>albofloccosa’</i> is derived from ‘ <i>albus’</i> meaning ‘white’, and ‘ <i>floccosus’</i>, meaning ‘with tufts of wool”, together referring to the white floccose pileus surface.</p> <p> Description: <i>—Basidiomata</i> medium sized. <i>Pileus</i> 31–75 mm diam., initially conical to sub globose, becoming applanate to plano-convex on maturity, distinctly umbonate; surface snow white (1A1) to milky white (1A1) with pale yellow to brownish yellow (3B3-B4) center, squamulose; squamules scaly and cottony, snow-white to milky white (1A1); margin with floccose velar remnants, undulate on maturity. <i>Lamellae</i> 3–5 mm wide, free, even, entire, close to rather crowded with 2–3 series of lamellulae, creamy white (1A1-A2), concolorous; edge. <i>Stipe</i> 115–145 × 7–9 mm, central, subcylindrical, slightly tapered towards the base; surface dry, dull, pale yellowish (1A3), unchanging on bruising, covered by white (1A1), floccose to fibrillose squamules that are scattered towards the base; context hollow, cream. <i>Annulus</i> rudimentary, floccose, white. <i>Odour</i> pleasant, mushroom-like. <i>Taste</i> not recorded. <i>Spore-print</i> white.</p> <p> <i>Basidiospores</i> [n= 60, 3 /2 collections] (11.5–)14.7–18.5(–21) × (5.5–)6.1-7.2(–8) μm, avl × avw = 16.59 × 6.63 μm, Q = 1.8–2.9, Qav = 2.51, fusiform to cylindrical with straight abaxial, ellipsoidal to oblong with acute apex side view, ellipsoid-ovoid in frontal view, smooth, hyaline, slightly thick-walled, dextrinoid, with 0–2 guttules. <i>Basidia</i> (26–)27–33(–36) × (11–)12–13(–13.5) μm, clavate to broadly clavate, hyaline in KOH, thin-walled, 2–4-spored. <i>Cheilocystidia</i> (20–)20–28.5(–39) × (8.5–)9–11.5(–12.5) µm, narrowly clavate to clavate, with olivaceous granular content, thin-walled. <i>Pleurocystidia</i> absent. <i>Pileus covering</i> a trichoderm, composed of elongate, narrowly clavate to subcylindrical terminal elements measuring (34.0‒)36.0‒148.0(‒185.0) × (5.5‒)6.5‒12.0(‒14.0) μm (n = 40, 4 of 2 coll.), with rounded apex or narrow and tapering to apex, sometimes more or less erect, occasionally curved or twisted, densely aggregated and branching, frequently septate, hyaline, thick-walled; with short elements in between, 12–32 × 11–40 μm, narrowly clavate, hyaline. <i>Stipitipellis</i> hyphae numerous, in clusters, (41.0‒)45.0‒70.5(‒95.0) × (4.0‒)5.0‒ 10.0(‒15.0) μm (n = 40 of 2 coll.) present only at base of stipe, absent towards the apex, very variable in shape, usually narrowly clavate to narrowly utriform, occasionally clavate, cylindrical, oblong, flexuose, hyaline, thin-walled. <i>Clamp connections</i> present and abundant in all examined tissues.</p> <p> Habit and habitat:—Solitary, caespitose, or gregarious, in small groups on the debris of needles of <i>Picea smithiana,</i> a typical tree species of the temperate forest Region of Bhaderwah forest division.</p> <p>Geographical distribution range:—Known only from the type locality in District Doda, Gandoh, Bhalessa, Jammu, and Kashmir, India.</p> <p> Additional collection examined:— INDIA. Jammu and Kashmir: Doda district, Gandoh, Bhalessa, Bash Galli, 32°2′36.48″N, 75°50′24.99″E, alt. 2830m, 25 August 2022, MAA02, <i>Masood Ahamed</i>, (HBJU / M/02).</p>Published as part of <i>Ahamed, Masood, Verma, Komal, Dutta, Arun Kumar & Sharma, Yash Pal, 2023, Lepiota albofloccosa, a new species in sect. Lepiota (Agaricaceae, Agaricales) from Northwestern Himalayas of Jammu and Kashmir, India, pp. 72-84 in Phytotaxa 607 (1)</i> on page 78, DOI: 10.11646/phytotaxa.607.1.6, <a href="http://zenodo.org/record/8212227">http://zenodo.org/record/8212227</a>
Some properties of generalized reduced Verma modules over -graded modular Lie superalgebras
No full textsummary:We study some properties of generalized reduced Verma modules over -graded modular Lie superalgebras. Some properties of the generalized reduced Verma modules and coinduced modules are obtained. Moreover, invariant forms on the generalized reduced Verma modules are considered. In particular, for -graded modular Lie superalgebras of Cartan type we prove that generalized reduced Verma modules are isomorphic to mixed products of modules
The F-method and a branching problem for generalized Verma modules associated to
No full textsummary:The branching problem for a couple of non-compatible Lie algebras and their parabolic subalgebras applied to generalized Verma modules was recently discussed in [15]. In the present article, we employ the recently developed F-method, [10], [11] to the couple of non-compatible Lie algebras , and generalized conformal -Verma modules of scalar type. As a result, we classify the -singular vectors for this class of -modules
Lactarius indoevosmus Mehmood, Verma K., Uniyal & Sharma Y. P 2022, sp. nov.
No full text<i>Lactarius indoevosmus</i> Mehmood, Verma K., Uniyal & Sharma Y.P <i>sp</i>. <i>nov.</i> <i>1</i> Figs. 3, 4. <p>MycoBank:—MB842103</p> <p>GenBank:— OL687920 (holotype), OL688339 (Paratype)</p> <p>Diagnosis:—Basidiomes with white to cream white, azonate pileus; white to cream white lamellae turning greyish orange to brown; large basidiospores (10.5–13.8 × 8.0–10.2 μm) with crests up to 0.75 μm high.</p> <p> Etymology:—Refers to the morphological resemblance and close affinity with <i>Lactarius evosmus</i>.</p> <p> Typification:— INDIA. Ladakh: Kargil district, Sankoo, 12 July 2021, 3117 m, N 34°24ʹ 33. E 76°44ʹ 47. 2, <i>T</i> <i>.</i> <i>Mehmood, K. Verma</i> & <i>Y. P Sharma TMKVYPS 20-001</i> (CAL 1867, holotype).</p> <p> <i>Description</i>:— <i>Pileus</i> 55–120 mm diam., plano-convex to plane, initially depressed, becoming deeply infundibuliform; surface azonate, shiny, white to cream white (1A1–2A1), with light orange (5A4–5A5), yellowish beige (4B4) to brownish orange (5C5) hues, turning dark orange to greyish orange (5A7–5B6) after 20 to 40 minutes; margin entire, incurved to plane. <i>Lamellae</i> 2–4 mm broad, adnate to subdecurrent, rather crowded (10–12/cm including lamellulae), anastomosing, white to cream white (1A1–2A1), turning greyish orange (5B6) to brown (6D7), edges entire; lamellulae present in 4–5 lengths. <i>Stipe</i> 30–50 × 13–45 mm, central, cylindric, tapered towards base, dry, white to dull white, turning greyish orange (5B6) to brown (6D7). <i>Context</i> moderately thick at pileus, white, solid in stipe, turning greyish orange (5B6) on exposure; slightly yellowish brown (5D8) with 3 % KOH, deep red (10C8) with guaiac, olive green (1E3–4) with FeSO 4. <i>Latex</i> abundant, white, unchanging. <i>Taste</i> mild. <i>Odour</i> pleasant. <i>Spore deposit</i> not obtained.</p> <p> <i>Basidiospores</i> 10.5–12.2–13.8 × 8.0–9.2–10.2 μm (n = 40, Q = 1.18–1.33–1.59); broadly ellipsoid to ellipsoid; ornamentation composed of irregular ridges up to 0.75 μm high and warts forming an incomplete reticulum; plage inamyloid. <i>Basidia</i> 54–68 × 12–14 μm, clavate to subclavate, hyaline, thin-walled, 4-spored; sterigmata 4–7 × 0.5– 0.8 μm. <i>Pleurocystidia</i> moderately abundant, 50–70 × 4–6.5 μm, emergent up to 11–15 μm, mostly embedded in the hymenium, subfusiform with moniliform to subobtuse apices. <i>Lamellae edge</i> sterile. <i>Paracystidia</i> 37–48 × 4–6 μm, subclavate. <i>Cheilocystidia</i> scarce, 35–54 × 3.0–5.0 μm, subfusiform, apex acute. <i>Pseudocystidia</i> moderate to abundant, 6–8 μm diam., emergent 10–15 μm, cylindric to tortuous, sometimes subobtuse at apex. <i>Hymenophoral trama</i> 30–50 μm thick, composed of lactifers and sphaerocytes. <i>Pileipellis</i> 180–260 μm thick, an ixocutis, composed of loosely interwoven, thin-walled, septate, repent hyphae 4–5 μm diam., under a very thin glutinous layer (6–10 μm), lactiferous hyphae abundant. <i>Stipitipellis</i> 60–105 μm thick, an ixocutis composed of interwoven, septate, thin-walled hyphae under a thin glutinous layer; hyphae 3–5 μm diam.</p> <p> <i>Habit and habitat:</i> —Solitary to scattered, growing in associations with <i>Salix alba</i> and <i>Prunus sp</i>.</p> <p> <i>Additional specimens examined</i>:— INDIA. Ladakh, Kargil, Sankoo, 3117 m elev., “ N 34°24ʹ 33. E 76°44ʹ 47. 2, 12 July 2021. <i>T. Mehmood, K. Verma</i> & <i>Y. P Sharma, TMKVYPS 21-30, TM /KV/YPS 21-035, LK 21-06</i> <i>.</i></p> <p> Notes:—This species is placed in <i>L</i>. sect. <i>Zonarii</i> Quel. (Heilmann-Clausen <i>et al</i>.1998) according to macro- and micromorphology. Morphologically and phylogenetically, <i>Lactarius indoevosmus</i> is close to the European species <i>Lactarius evosmus</i> (98 % identity for 98–100 % query coverage using BLAST) and <i>Lactarius zonarius</i> var. <i>riparius</i>. However, <i>Lactarius evosmus</i> can be differentiated by the pale cream to cream or pinkish buff, azonate pileus; whitish chrome to pale cream, decurrent lamellae; watery white, acrid latex; slightly smaller basidiospores (6.0‒9.2 × 4.6‒7.4 μm) with shorter (up to 0.5 μm high) ornamentation arranged in a zebra-like pattern, and scarce, never emergent pleuromacrocystidia (Hesler & Smith 1979, Heilmann-Clausen <i>et al</i>.1998). <i>Lactarius zonarius</i> var. <i>riparius</i> is also close to <i>Lactarius indoevosmus</i> but the presence of tomentose to cottony–tomentose and glabrous pileus margin, nonforked lamellae, acrid taste and slightly smaller basidiospores 7–9 × 5.5–7.5 μm in <i>Lactarius zonarius</i> var. <i>riparius</i> separates it from <i>Lactarius indoevosmus</i> (Barge and Cripps 2016). Another Indian species of <i>Lactarius</i> reported from the same locality (<i>Lactarius drassinus</i>) could be confused in the field with <i>Lactarius indoevosmus</i> but the presence of a dull white to greyish brown, faintly zonate pileus; pinkish white lamellae; smaller basidiospores (8.0–11.5 × 5.5–8.0 μm) with ornamentation composed of ridges up to 0.8 μm high and warts forming an almost complete reticulum separates <i>Lactarius drassinus</i> from <i>Lactarius indoevosmus</i> (Verma <i>et al</i>. 2021). <i>Lactarius indozonarius</i> Uniyal, K. Das & Nuytinck (2018a: 471), which was originally reported from India, differs from <i>Lactarius indoevosmus</i> by its viscid to glutinous, zonate pileus with hairy margin; scrobiculate stipe; fruity odour; subglobose to broadly ellipsoid basidiospores (7–8.5 × 6.5–7.5 µm) and association with <i>Quercus leucotrichophora</i> (Uniyal <i>et al</i>. 2018a).</p>Published as part of <i>Verma, Komal, Mehmood, Tahir, Uniyal, Priyanka & Sharma, Yash Pal, 2022, Lactarius indoevosmus and L. kanadii (Russulaceae), two new species from the northwestern Himalayas, India, inferred from morphology and molecular data, pp. 165-177 in Phytotaxa 541 (2)</i> on pages 167-172, DOI: 10.11646/phytotaxa.541.2.6, <a href="http://zenodo.org/record/6388745">http://zenodo.org/record/6388745</a>
Microlejeunea udarii P. K. Verma et S. C. Srivast., J.
No full text<p> <i>Microlejeunea udarii</i> P.K.Verma et S.C.Srivast.,</p> <p> <i>J. Bombay Nat. Hist. Soc.</i> 108 (2): 122, 2011 [2012] (see Verma & Srivastava 2011).</p> <p>TYPE: “ INDIA: Tamil Nadu: Nilgiri hills – Ootacamund, Pykara, 2,100 m, 29.iii.2001; Coll.: P.K. Verma and A. Alam, 13636 (Holotype LWU)”.</p>Published as part of <i>Söderström, Lars, Hagborg, Anders & Konrat, Matt Von, 2014, Early Land Plants Today: Index of Liverworts & Hornworts 2011 - 2012, pp. 61-85 in Phytotaxa 170 (2)</i> on page 72, DOI: 10.11646/phytotaxa.170.2.1, <a href="http://zenodo.org/record/4779611">http://zenodo.org/record/4779611</a>
Taxilejeunea nilgiriensis P. K. Verma et S. C. Srivast.
No full text<p> <i>Taxilejeunea nilgiriensis</i> P.K.Verma et S.C.Srivast.,</p> <p> <i>Proc. Natl. Acad. Sci. India, B</i> 77 (2): 207, 2007 (see Verma & Srivastava 2007).</p> <p>TYPE: “ Tamil Nadu: Nilgiri hills - Kilkotagiri (Kengarai); ca 1850–1900 m. 01.04.2003; P.K. Verma et A. Alam; 16916/2003 (LWU)”</p>Published as part of <i>Söderström, Lars, Hagborg, Anders & Konrat, Matt Von, 2014, Early Land Plants Today: Index of Liverworts & Hornworts 2011 - 2012, pp. 61-85 in Phytotaxa 170 (2)</i> on page 75, DOI: 10.11646/phytotaxa.170.2.1, <a href="http://zenodo.org/record/4779611">http://zenodo.org/record/4779611</a>
Programa computacional en 3-D para el conjunto de yacimiento geotérmico y cámara magmática :\ua0aplicación en el campo geotérmico de Los Humeros, Puebla /
No full text\ua0tesis que para optar por el grado de: Doctor en Ingeniería Energía-Geotermia presenta: M. I. Efraín Gómez Arias ; tutores: Dr. Surendra P. Verma Jaiswal, Dr. Jorge A. Andaverde Arredondo226 páginas :\ua0ilustraciones, diagramasDoctorado en Energía\ua0UNAM, Centro de Investigación en Energía,\ua0201
The Jantzen filtration of a certain class of Verma modules
No full textLet
G
=
N
+
⊕
H
⊕
N
−
G = {N_ + } \oplus H \oplus {N_ - }
be a Kac-Moody Lie algebra. For each
M
M
in the category
O
\mathcal {O}
of
G
G
-modules, there is a filtration
(
M
i
)
i
≥
0
{({M_i})_{i \geq 0}}
by
G
G
-submodules of
M
M
naturally associated with the set
{
υ
∈
M
|
N
+
υ
=
0
}
\left \{ {\upsilon \in M\left | {{N_ + }\upsilon } \right . = 0} \right \}
. If
G
G
is symmetrizable and
M
M
is a Verma module,
M
i
=
M
i
{M_i} = {M^i}
for all
i
i
if and only if
[
M
:
L
(
μ
)
]
=
dim
Hom
G
(
M
(
μ
)
,
M
)
\left [ {M:L(\mu )} \right ] = \dim \operatorname {Hom}_G(M(\mu ),M)
for all
μ
∈
H
∗
\mu \in {H^ * }
where
(
M
i
)
i
≥
0
{({M^i})_{i \geq 0}}
is the Jantzen filtration of
M
M
. The main tools used are the nondegenerate form on each
M
i
/
M
i
+
1
{M^i}/{M^{i + 1}}
together with the
Γ
\Gamma
-operator of
G
G
.</p
- …
