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Rigidity of generalized Verma modules

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Khomenko O., Mazorchuk V.

Colloquium Mathematicum

2002

tom 92

nr 1

45-57

We prove that generalized Verma modules induced from generic Gelfand-Zetlin modules, and generalized Verma modules associated with Enright-complete modules, are rigid. Their Loewy lengths and quotients of the unique Loewy filtrations are calculated for the regular block of the corresponding category 𝒪(𝔭,Λ).

On presentations of Brauer-type monoids

100%

Kudryavtseva G., Mazorchuk V.

Open Mathematics

2006

tom 4

nr 3

413-434

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.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Open Mathematics

2 Mazorchuk V.

1 Khomenko O.

1 Kudryavtseva G.

1 2006

1 2002

Wyniki wyszukiwania

Rigidity of generalized Verma modules

On presentations of Brauer-type monoids