The K-functor (Grothendieck group) of the infinite symmetric group

DOI10.1007/BF02104985zbMath0557.20010MaRDI QIDQ762263

Sergei Kerov, Anatoly M. Vershik

Publication date: 1985

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

groupscharactersrepresentationspositive conedifferential operatorsGrothendieck groupinductionfunctionssymmetriccategory of finitely generated projectivedirect limit of finite symmetricK0modules over group algebras

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Group rings (16S34) Representations of infinite symmetric groups (20C32)

Related Items

Space-time boundaries for random walks obtained from diffuse measures, Locally semisimple algebras. Combinatorial theory and the \(K_ 0\)- functor, Certain unitary representations of the infinite symmetric group, II, Integral expression of some indecomposable characters of the infinite symmetric group in terms of irreducible representations, Multiplicative characters and Gaussian fluctuation limits

Cites Work

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• The Characters of the Infinite Symmetric Group and Probability Properties of the Robinson–Schensted–Knuth Algorithm
• Theory and Application of Plane Partitions: Part 1