Cellular algebras and inverse semigroups.

DOI10.1016/j.jalgebra.2005.04.027zbMath1127.16021OpenAlexW2056619845MaRDI QIDQ2490853

James East

Publication date: 18 May 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.04.027

zbMATH Keywords

finite inverse semigroupssemigroup algebrascellular algebrascell datagroup algebras of maximal subgroups

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Group rings (16S34) Semigroup rings, multiplicative semigroups of rings (20M25) Inverse semigroups (20M18) Representation theory of associative rings and algebras (16G99)

Related Items

Presentations for rook partition monoids and algebras and their singular ideals ⋮ On tensor spaces for rook monoid algebras ⋮ Motzkin monoids and partial Brauer monoids ⋮ Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals ⋮ Cellularity of diagram algebras as twisted semigroup algebras. ⋮ Cyclotomic Extensions of Diagram Algebras ⋮ Enumeration of idempotents in diagram semigroups and algebras ⋮ Cellularity of some semigroup algebras ⋮ Cellularity of twisted semigroup algebras. ⋮ Cell algebras. ⋮ Representation theory of \(q\)-rook monoid algebras. ⋮ Jucys–Murphy elements of partition algebras for the rook monoid ⋮ THE ANNIHILATOR OF TENSOR SPACE IN THE -ROOK MONOID ALGEBRA ⋮ Quiver mutations and Boolean reflection monoids

Cites Work

• Semigroups of order preserving mappings on a finite chain: A new class of divisors
• On the structure of \(\mathcal{IO}_n\)
• Representations of the rook monoid.
• Cellular algebras
• A characteristic free approach to Brauer algebras
• ABELIAN KERNELS, SOLVABLE MONOIDS AND THE ABELIAN KERNEL LENGTH OF A FINITE MONOID
• A presentation for the monoid of uniform block permutations
• The monoid of all injective order preserving partial transformations on a finite chain.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item