arXiv Open Access 2007

Combinatorial Gelfand models for some semigroups and q-rook monoid algebras

Ganna Kudryavtseva Volodymyr Mazorchuk

Lihat Sumber

Abstrak

Inspired by the results of [R. Adin, A. Postnikov, Y. Roichman, Combinatorial Gelfand model, preprint math.RT arXiv:0709.3962], we propose combinatorial Gelfand models for semigroup algebras of some finite semigroups, which include the symmetric inverse semigroup, the dual symmetric inverse semigroup, the maximal factorizable subsemigroup in the dual symmetric inverse semigroup, and the factor power of the symmetric group. Furthermore we extend the Gelfand model for the semigroup algebras of the symmetric inverse semigroup to a Gelfand model for the $q$-rook monoid algebra.

Topik & Kata Kunci

math.RT

Penulis (2)

Ganna Kudryavtseva

Volodymyr Mazorchuk

Format Sitasi

APA MLA BibTeX

Kudryavtseva, G., Mazorchuk, V. (2007). Combinatorial Gelfand models for some semigroups and q-rook monoid algebras. https://arxiv.org/abs/0710.1972

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓