Schur–Weyl dualities for symmetric inverse semigroups
Copyright policy )Schur–Weyl dualities for symmetric inverse semigroups
We obtain Schur-Weyl dualities in which the algebras, acting on both sides, are semigroup algebras of various symmetric inverse semigroups and their deformations.
14 pages
- Stockholm University Sweden
- Uppsala University Sweden
- Taras Shevchenko National University of Kyiv Ukraine
Algebra and Number Theory, 20M18; 16S99; 20M30; 05E10, semigroup algebras, Representation of semigroups; actions of semigroups on sets, Semigroup rings, multiplicative semigroups of rings, actions, 20M30, representations, 20M18, Group Theory (math.GR), Inverse semigroups, Schur-Weyl dualities, Ordinary and skew polynomial rings and semigroup rings, rook monoids, Combinatorial aspects of representation theory, FOS: Mathematics, Representation Theory (math.RT), symmetric inverse semigroups, Mathematics - Group Theory, 05E10, Mathematics - Representation Theory, 16S99
Algebra and Number Theory, 20M18; 16S99; 20M30; 05E10, semigroup algebras, Representation of semigroups; actions of semigroups on sets, Semigroup rings, multiplicative semigroups of rings, actions, 20M30, representations, 20M18, Group Theory (math.GR), Inverse semigroups, Schur-Weyl dualities, Ordinary and skew polynomial rings and semigroup rings, rook monoids, Combinatorial aspects of representation theory, FOS: Mathematics, Representation Theory (math.RT), symmetric inverse semigroups, Mathematics - Group Theory, 05E10, Mathematics - Representation Theory, 16S99
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