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Character formul?and GKRS multiplets in equivariant K-theory
Character formul?GKRS multiplets equivariant K-theory
2011/9/14
Abstract: Let $G$ be a compact Lie group, $H$ a closed subgroup of maximal rank and $X$ a topological $G$-space. We obtain a variety of results concerning the structure of the $H$-equivariant K-ring $...
Index character associated to the projective Dirac operator
twisted index theory Clifford module K-Theory and Homology Differential Geometry
2011/9/9
Abstract: We calculate the equivariant index formula for an infinite dimensional Clifford module canonically associated to any Riemannian manifold. It encompasses the fractional index formula of the p...
Bounding an index by the largest character degree of a solvable group
Index Character Degree p-radical
2010/12/14
In this paper, we show that if p is a prime and G is a p-solvable group, then |G: Op(G)|p (b(G)p/p)1/(p−1) where b(G) is the largest character degree of G. If p is an odd prime that is not a M...
On the Character Degrees of Sylow $p$-subgroups of Chevalley Group of Type $E(p^f)$
Tensor product root system irreducible characters
2010/12/7
Let Fq be a field of characteristic p with q elements. It is known that the degrees of the irreducible characters of the Sylow p-subgroup of GLn(Fq) are powers of q, see Isaacs [4]. On the other hand ...
Finite groups with the same character tables, Drinfel'd algebras and Galois algebras
character tables Drinfel'd algebras Galois algebras
2010/10/29
We prove that finite groups have the same complex character tables iff the group algebras are twisted forms of each other as Drinfel'd quasi-bialgebras or iff there is non-associative bi-Galois algeb...