Results 31 to 40 of about 2,621 (128)
Some Problems in the Representation Theory of Hyperoctahedral Groups and Related Algebras
, 2003 PhDWe begin by using a version of Green correspondence due to Grabmeier to count the number of components of two permutation modules V®r and y®r for the hyperoctahedral group.
Brown, Benjamin Charles
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This volume offers a fresh and modern introduction to one of abstract algebra’s key topics. Guiding readers through the transition between structure theory and representation theory, this textbook explores how algebraic objects like groups and rings act ...
Jan E., Grabowski
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Entropy Region and Network Information Theory [PDF]
, 2011 This dissertation takes a step toward a general framework for solving network information theory problems by studying the capacity region of networks through the entropy region.
Sormeh Shadbakht, Shadbakht, Sormeh
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On a strong form of Oliver’s p-group conjecture. [PDF]
, 2011 We introduce a stronger and more tractable form of Olivers p-group conjecture, and derive a reformulation in terms of the modular representation theory of a quotient group.
Green, David J. +7 more
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Zassenhaus varieties of general linear Lie algebras
, 2005 Let g be a Lie algebra over an algebraically closed field of characteristic p>0 and let U be the universal enveloping algebra of g. We prove in this paper for g=gl_n and g=sl_n that the centre Z of U is a unique factorisation domain and that its field
Premet, Alexander; id_orcid +6 more
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The sheets of a classical lie algebra [PDF]
, 2005 We consider the adjoint action of a connected complex semisimple group G on its Lie algebra g. A sheet of g is a maximal irreducible subset of g consisting of G-orbits of a fixed dimension.
Im Hof, Andreas Emanuel
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The local Langlands correspondence for inner forms of SL_n
, 2016 Let F be a non-archimedean local field. We establish the local Langlands correspondence for all inner forms of the group SLn(F). It takes the form of a bijection between, on the one hand, conjugacy classes of Langlands parameters for SLn(F) enhanced with ...
Aubert, Anne-Marie +11 more
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Galois structure of Zariski cohomology for weakly ramified covers of curves
, 2004 We compute equivariant Euler characteristics of locally free sheaves on curves, thereby generalizing several results of Kani and Nakajima. For instance, we extend Kani's computation of the Galois module structure of the space of global meromorphic ...
Koeck, Bernhard
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Partial normalizations of coxeter arrangements and discriminants [PDF]
, 2012 We study natural partial normalization spaces of Coxeter arrangements and discriminants and relate their geometry to representation theory. The underlying ring structures arise from Dubrovin’s Frobenius manifold structure which is lifted (without unit)
Mond, D. (David) +3 more
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Algorithms for polycyclic-by-finite groups [PDF]
A set of fundamental algorithms for computing with polycyclic-by-finite groups is presented here. Polycyclic-by-finite groups arise naturally in a number of contexts; for example, as automorphism groups of large finite soluble groups, as quotients of ...
Sinanan, Shavak
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