# GRADED q-SCHUR ALGEBRAS

@inproceedings{Ariki2009GRADEDQA, title={GRADED q-SCHUR ALGEBRAS}, author={Susumu Ariki}, year={2009} }

(g), the nega-tive half of the quantized enveloping algebra associated with a simply-lacedquiver. The algebra is called the Khovanov-Lauda algebra. They also pro-posed the study of cyclotomic Khovanov-Lauda algebras. Soon after that,Brundan and Kleshchev proved in [4] that the cyclotomic Khovanov-Laudaalgebras associated with a cyclic quiver are nothing but block algebras ofthe cyclotomic Hecke algebras of type G(m,1,n) and, more recently, theyproved the graded analogue of an old result of the… CONTINUE READING

Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

#### Citations

##### Publications citing this paper.

SHOWING 1-10 OF 10 CITATIONS

## Quiver Schur algebras for linear quivers

VIEW 6 EXCERPTS

CITES METHODS

HIGHLY INFLUENCED

## Integral and graded quasi-hereditary algebras, II with applications to representations of generalized $q$-Schur algebras and algebraic groups

VIEW 3 EXCERPTS

CITES RESULTS & METHODS

HIGHLY INFLUENCED

## A Semisimple Series for q-Weyl and q-Specht Modules

VIEW 3 EXCERPTS

CITES METHODS & RESULTS

## Bases canoniques et graduations associées aux algèbres de Hecke doublement affines rationnelles

VIEW 2 EXCERPTS

CITES METHODS & BACKGROUND

## Canonical bases and gradings associated with rational double affine Hecke algebras

VIEW 2 EXCERPTS

CITES METHODS & BACKGROUND

## A new approach to the Koszul property in representation theory using graded subalgebras

VIEW 1 EXCERPT

CITES RESULTS

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 18 REFERENCES

## Specht Filtrations for Hecke Algebras of Type A

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## Tensor products of quantized tilting modules

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## Decomposition Numbers and Canonical Bases

VIEW 1 EXCERPT

## On the decomposition matrices of the quantized Schur algebra

VIEW 2 EXCERPTS

## Canonical bases of q-deformed Fock spaces

VIEW 3 EXCERPTS