**SMS scnews item created by James East at Wed 9 Dec 2009 0903**

Type: Seminar

Modified: Wed 9 Dec 2009 0923

Distribution: World

Expiry: 11 Dec 2009

**Calendar1: 11 Dec 2009 1205-1255**

**CalLoc1: Carslaw 375**

CalTitle1: Algebraic Geometry Seminar: Yucai Su -- Generalised Verma modules for the orthosymplectic Lie superalgebra osp(k|2)

Auth: jamese@bari.maths.usyd.edu.au

### Algebra Seminar

# Generalised Verma modules for the orthosymplectic Lie superalgebra osp(k|2)

### Yucai Su

#### Friday December 11, 12:05--12:55pm, Carslaw 375

###### Abstract

This talk is based on recent joint work with R.B. Zhang. The composition factors and their multiplicities are determined for generalised Verma modules over the orthosymplectic Lie superalgebra osp(k|2). The results enable us to obtain explicit formulae for the formal characters and dimensions of the finite-dimensional irreducible modules. Applying these results, we also compute the first and second cohomology groups of the Lie superalgebra with coefficients in finite-dimensional Kac modules and irreducible modules.

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After the seminar we will take the speaker to lunch.

This will be the final Algebra Seminar for 2009.

See the Algebra Seminar web page for information about other seminars in the series.

James East -- jamese@maths.usyd.edu.au