Results 1  10
of
5,462
Frobenius–Schur functions
, 2001
"... We introduce and study a new basis in the algebra of symmetric functions. The elements of this basis are called the Frobenius–Schur functions (FSfunctions, for short). Our main motivation for studying the FSfunctions is the fact that they enter a formula expressing the combinatorial dimension of ..."
Abstract

Cited by 12 (10 self)
 Add to MetaCart
We introduce and study a new basis in the algebra of symmetric functions. The elements of this basis are called the Frobenius–Schur functions (FSfunctions, for short). Our main motivation for studying the FSfunctions is the fact that they enter a formula expressing the combinatorial dimension
Frobenius–Schur functions: summary of results
, 2000
"... We introduce and study a family {FSµ} of symmetric functions which we call the Frobenius–Schur functions. These are inhomogeneous functions indexed by partitions and such that FSµ differs from the conventional Schur function sµ in lower terms only. Our interest in these new functions comes from the ..."
Abstract

Cited by 2 (2 self)
 Add to MetaCart
We introduce and study a family {FSµ} of symmetric functions which we call the Frobenius–Schur functions. These are inhomogeneous functions indexed by partitions and such that FSµ differs from the conventional Schur function sµ in lower terms only. Our interest in these new functions comes from
A FrobeniusSchur theorem for Hopf algebras
 Alg. Rep. Theory
"... In this note we prove a generalization of the FrobeniusSchur theorem for finite groups for the case of semisimple Hopf algebra over an algebraically closed field of characteristic 0. A similar result holds in characteristic p> 2 if the Hopf algebra is also cosemisimple. In fact we show a more ge ..."
Abstract

Cited by 45 (6 self)
 Add to MetaCart
In this note we prove a generalization of the FrobeniusSchur theorem for finite groups for the case of semisimple Hopf algebra over an algebraically closed field of characteristic 0. A similar result holds in characteristic p> 2 if the Hopf algebra is also cosemisimple. In fact we show a more
HIGHER FROBENIUSSCHUR INDICATORS FOR PIVOTAL CATEGORIES
, 2005
"... Abstract. We define higher FrobeniusSchur indicators for objects in linear pivotal monoidal categories. We prove that they are category invariants, and take values in the cyclotomic integers. We also define a family of natural endomorphisms of the identity endofunctor on a klinear semisimple rigid ..."
Abstract

Cited by 33 (11 self)
 Add to MetaCart
Abstract. We define higher FrobeniusSchur indicators for objects in linear pivotal monoidal categories. We prove that they are category invariants, and take values in the cyclotomic integers. We also define a family of natural endomorphisms of the identity endofunctor on a klinear semisimple
FrobeniusSchur indicators and exponents of spherical categories
 Adv. Math
"... Abstract. We obtain two formulae for the higher FrobeniusSchur indicators: one for a spherical fusion category in terms of the twist of its center and the other one for a modular tensor category in terms of its twist. The first one is a categorical generalization of an analogous result by Kashina, ..."
Abstract

Cited by 30 (10 self)
 Add to MetaCart
Abstract. We obtain two formulae for the higher FrobeniusSchur indicators: one for a spherical fusion category in terms of the twist of its center and the other one for a modular tensor category in terms of its twist. The first one is a categorical generalization of an analogous result by Kashina
Results 1  10
of
5,462