On presentations of Brauer-type monoids

By G. Kudryavtseva, Volodymyr Mazorchuk. 2005

66 citations recorded by the source corpus.

We obtain presentations for the Brauer monoid, the partial analogue of the Brauer monoid, and for the greatest factorizable inverse submonoid of the dual symmetric inverse monoid. In all three cases we apply the same approach, based on the realization of all these monoids as Brauer-type monoids.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d0dab741d9cb7810395e223582cdec7784dcddb8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Tom Halverson
2. Elise delMas
3. Paul P. Martin
4. Volodymyr Mazorchuk

In Geometry and Topology

1. Elise delMas
2. Tom Halverson
3. Volodymyr Mazorchuk
4. Paul P. Martin
5. C. Stroppel
6. Jonathan Nilsson
7. Vanessa Miemietz
8. Kaiming Zhao

Citations in the corpus

• On the representation theory of partial Brauer algebras (2012, background): “For each choice of δ, δ ∈ k, and n ∈ N0, the partial Brauer algebra Rn(δ, δ ) is a k-algebra [9, 16, 17, 11] with a finite basis of certain set partitions (or partition diagrams [12]).”
• Representations of the Rook-Brauer Algebra (2012, methodology): “ra [Ha] in our construction. The rook-Brauer algebra was first introduced in [GrW], and it is also studied in [Mz]. The monoid of rook-Brauer diagrams (called the partial Brauer monoid) is examined in [KM], where it is given a presentation on generators and relations. Representations of the rook-Brau”