## Cohomology of generalized supergrassmannians and character formulae for basic classical Lie superalgebras

- Caroline Gruson, Vera Serganova
- 2017

@inproceedings{BRUNDAN2002KAZHDANLUSZTIGPA, title={KAZHDAN-LUSZTIG POLYNOMIALS AND CHARACTER FORMULAE FOR THE LIE SUPERALGEBRA gl(m|n)}, author={JONATHAN BRUNDAN}, year={2002} }

- Published 2002

The problem of computing the characters of the finite dimensional irreducible representations of the Lie superalgebra gl(m|n) over C was solved a few years ago by V. Serganova [28], after various special cases had been treated in [18, 4, 9, 3, 29, 13, 14, 19, 27]. In this article, we present an entirely different approach. One consequence is a direct and elementary proof of a conjecture made by van der Jeugt and Zhang [16], closely related to the conjecture made in [12]. This does not seem to… CONTINUE READING

Highly Influential

This paper has highly influenced a number of papers. REVIEW HIGHLY INFLUENTIAL CITATIONS

Highly Cited

This paper has 100 citations. REVIEW CITATIONS

Citations per Year

Semantic Scholar estimates that this publication has **100** citations based on the available data.

See our **FAQ** for additional information.

### Presentations referencing similar topics