1,798,673 research outputs found

    The Grothendieck-Cousin complex on G/B x G/B

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    In his 1978 paper, The Grothendieck-Cousin complex of an induced representation, G. Kempf computes the Cousin complex corresponding to an induced representation of a reductive algebraic group G. His technique uses the geometry of the homogeneous space G/B, B being a Borel subgroup of G. The complex gives a resolution by B-modules, which easily yields the Weyl character formula.Instead of considering G/B, we analyze the analagous situation for G/B×G/BG/B\times G/B. The Cousin complex corresponding to an induced representation in this case consists of G-modules. We are able to study the terms of the complex by exploiting parallels between the B-action on G/B and the G-action on G/B×G/BG/B\times G/B--there is a natural one-to-one correspondence between the orbits of these actions. Our work here is greatly simplified by reducing to the affine situation and applying the theory of A-G modules. We construct a spectral sequence relating the terms of the complexes. Finally, an application to the theory of D-modules is given.Made available in DSpace on 2011-05-07T12:16:39Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9624402.pdf: 1986051 bytes, checksum: 9df74b5e3a422835a14febe4643a2b31 (MD5) Previous issue date: 1995Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding ([email protected]) on 2011-05-07T14:39:02Z Item is restricted indefinitely.Restriction data tranferred 2014-07-01T11:16:21-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permissionETDs are only available to UIUC Users without author permissionU of I Onl

    Letter from G. B. Suggs to S. B. Simmons

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    Letter from G. B. Suggs to S. B. Simmons, concerning money raised by chapter

    Correspondence from G. B. Weymouth, July 22, 1862

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    Correspondence from G. B. Weymouth regarding absent soldiers from Aroostook Countyhttps://digitalmaine.com/absent_soldiers/1021/thumbnail.jp

    Correspondence from G. B. Dealy of Dallas Morning News

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    A letter sent from G. B. Dealey to John W. Carpenter returning a copy of the resolutions passed by the Mississippi Valley Association, previously sent

    G. B. Shaw, Pygmalion. An Introduction

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    Starting from a presentation of English theatre before G. B. Shaw, London intellectual and ideological background, Shaw's relation to Ibsen and his support to the women's liberation movement, this study analyses his theatre production covering the years 1890-1950, and examines the play Pygmalion paying attention to themes and characters, dramatic structure and style

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Inner Mongolia (China), sparse vegetation in the desert near Helan Shan and the Great Wall

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    Sparse vegetation in the southern Alashan Desert near the Great Wall. Photo by G. B. CresseyGrayscal

    Letter from Richard Edwards and G. B. Suggs to S. B. Simmons. Letter from S. B. Simmons to G. B. Suggs

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    Letter from Richard Edwards and G. B. Suggs to S. B. Simmons, sending in money. Letter from S. B. Simmons to G. B. Suggs, thanking him for letter and money
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