Some relative character theory
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In this paper, the authors consider an algebra of endofunctions of H-class functions on a finite group and show that if K is a suitable cyclotomic field, then C 0(G,H)A contains an orthonormal basis and C 0 (G,G)A=A ⊗ZX(G), where X(G) is the character ring of G.About:
This article is published in Journal of Pure and Applied Algebra.The article was published on 1994-12-12 and is currently open access. It has received 5 citations till now. The article focuses on the topics: Subgroup & Cyclotomic field.read more
Citations
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Journal ArticleDOI
Tilting Modules, Symmetric Functions, and the Module Structure of the Free Lie Algebra
Stephen Donkin,Karin Erdmann +1 more
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Surface Algebras I: Dessins D'enfants, Surface Algebras, and Dessin Orders
TL;DR: A construction of an infinite dimensional path algebra, its completion, and lattices over orders closely related to it are constructed for ever cellularly embedded graph in a compact Riemann surface.
On the conjugation action for quantum general linear groups
TL;DR: In this article , the conjugation action of a quantum group G over an arbitrary non-zero parameter q is considered and the authors give analogues of results of Kostant and Richardson.
Posted Content
Dessins D'enfants, Surface Algebras, and Dessin Orders
TL;DR: In this paper, an infinite dimensional associative algebra which is associated in a unique way to a dessin d'enfant is constructed, which can be constructed in such a way that it is the complete path algebra of a quiver with relations.
References
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Book
Representation Theory of Finite Groups and Associative Algebras
Charles W. Curtis,Irving Reiner +1 more
TL;DR: In this paper, the authors present a group theory representation and modular representation for algebraic number theory, including Semi-Semi-Simple Rings and Group Algebras, including Frobenius Algebraic numbers.
Book ChapterDOI
Polynomial representations of GLn
TL;DR: Polynomial Representations of GLn(K): The Schur algebra as mentioned in this paper, Weights and Characters., The modules D?K., The Carter-Lusztig modules V?,K., Representation theory of the symmetric group
Book
The representation theory of finite groups
TL;DR: This book discusses Blocks and Extensions of R, an Analogue of Jordan's Theorem, and groups with a Sylow Group of Prime Order.