### Seminar in Algebra, Lie Theory, and Geometry

# Lucas Calixto

### (Jacobs University Bremen)

## "Representations of map superalgebras, Part II"

** Date: ** |
Thu, October 26, 2017 |

** Time: ** |
11:15 |

** Place: ** |
Seminar Room (120), Research I |

**Abstract:** Abstract: Let \(\frak{g}\) be a Lie superalgebra and \(A\) be an associative, commutative unital algebra, both defined over the same ground field. We call the Lie superalgebra \(\frak{g}\otimes A\) a map Lie superalgebra. These Lie superalgebras generalizes various well known Lie superalgebras, such as loop and current superalgebras. In this talk I will present the classification of all irreducible finite-dimensional representations of such superalgebras for the case where \(\frak{g}\) is a classical simple Lie superalgebra. At the end I also wold like to make some comments about the twisted version of such superalgebras.