193 research outputs found
Non-existence of Hopf orders for a twist of the alternating and symmetric groups
No full textJuan Cuadra was supported by grant MTM2017-86987-P from MICINN and FEDER and by the research group FQM0211 from Junta de Andalucía. Ehud Meir was supported by the RTG 1670 “Mathematics inspired by String theory and Quantum Field Theory”. The authors would like to thank Sonia Natale for her comments on a first version of this paper and, specially, for drawing their attention to [7]. The authors are indebted to the attentive referee for his careful revision and apt comments, which helped to improve the original manuscript.Peer reviewe
Multi-channel signal separation based on decorrelation
No full textIncludes bibliographical references (p. 15).Supported by the Defense Advanced Research Projects Agency, monitored by the Office of Naval Research. N00014-89-J-1489 Supported by the U.S. Air Force Office of Scientific Research. AFOSR-91-0034 Supported by the U.S. Navy Office of Naval Research. N00014-90-J-1109 Supported by the Wolfson Research Awards administered by the Israel Academy of Sciences and Humanities.Ehud Weinstein, Meir Feder, and Alan V. Oppenheim
Structure of blocks with normal defect and abelian p′ inertial quotient
No full textOpen Access via the CUP Agreement Funding Information: The first author is grateful to City, University of London for its hospitality during the research for this paper, and to Ehud Meir for conversations about the proof of Theorem . The second author acknowledges support from EPSRC grant EP/T004592/1.Peer reviewe
An RNA interference knock-down of nitrate reductase enhances lipid biosynthesis in the diatom Phaeodactylum tricornutum
No full textWhen diatoms are stressed for inorganic nitrogen they remodel their intermediate metabolism and redirect carbon towards lipid biosynthesis. However, this response comes at a significant cost reflected in decreased photosynthetic energy conversion efficiency and growth. Here we explore a molecular genetics approach to restrict the assimilation of inorganic nitrogen by knocking down nitrate reductase (NR). The transformant strain, NR21, exhibited about 50% lower expression and activity of the enzyme but simultaneously accumulated over 40% more fatty acids. However, in contrast to nitrogen-stressed wild-type (WT) cells, which grow at about 20% of the rate of nitrogen-replete cells, growth of NR21 was only reduced by about 30%. Biophysical analyses revealed that the photosynthetic energy conversion efficiency of photosystem II was unaffected in NR21; nevertheless, the plastoquinone pool was reduced by 50% at the optimal growth irradiance while in the WT it was over 90% oxidized. Further analyses reveal a 12-fold increase in the glutamate/glutamine ratio and an increase NADPH and malonyl-CoA pool size. Transcriptomic analyses indicate that the knock down resulted in changes in the expression of genes for lipid biosynthesis, as well as the expression of specific transcription factors. Based on these observations, we hypothesize that the allocation of carbon and reductants in diatoms is controlled by a feedback mechanism between intermediate metabolites, the redox state of the plastid and the expression and binding of transcription factors related to stress responses.Peer reviewe
Descent, fields of invariants, and generic forms via symmetric monoidal categories
No full textThe author was supported by the Danish National Research Foundation (DNRF) through the Centre for Symmetry and Deformation. The author is grateful to Eli Aljadeff, Apostolos Beligiannis, Julien Bichon, Pavel Etingof, Gaston Garcia, Christian Kassel, Bernhard Keller, Henning Krause, Akira Masuoka and Jan Stovicek for guidance and for fruitful discussions.Peer reviewe
Hopf cocycle deformations and invariant theory
No full textOpen Access via Springer Compact Agreement. The author was supported by the Research Training Group 1670, “Mathematics Inspired by String Theory and Quantum Field Theory”.Peer reviewe
Orders of Nikshych's Hopf algebra
No full textThe first author was supported by grant MTM2014-54439-P from MICINN and FEDER and by the research group FQM0211 from Junta de Andalucía. The second author was supported by the Danish National Research Foundation (DNRF) through the Centre for Symmetry and Deformation. The authors are grateful to Dror Speiser for doing the previous computer calculation and to Bjorn Poonen for a conversation about the number theoretical condition in Theorem 7.1. The authors are finally indebted to the referee for his/her comments and suggestions, which helped to improve substantially the presentation of the results.Peer reviewe
Semisimple Hopf algebras via geometric invariant theory
No full textI first encountered Geometric Invariant Theory during a program on moduli spaces at the Isaac Newton Institute in Cambridge at the first half of 2011. I would like to thank the Newton Institute and the organizers of the program. I would also like to thank the referee for carefully reading the manuscript and for some valuable comments. During the writing of this paper I was supported by the Danish National Research Foundation through the Centre for Symmetry and Deformation (DNRF92) and by the Research Training Group1670 “Mathematics inspired by String theory and Quantum Field Theory”.Peer reviewe
Interpolations of monoidal categories and algebraic structures by invariant theory
No full textAcknowledgments I would like to thank Pierre Deligne for discussion and comments on an earlier version of the paper. I would also like to thank Lóránt Szegedy for his help with the tikzit package.Peer reviewe
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