Date | Nov 02, 2021 |
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Speaker | 유정우 |

Dept. | 서울대학교 |

Room | 27-220 |

Time | 10:30-11:30 |

The generalized quantum group $U(e)$ of type A is an affine analogue of quantum group associated to a general linear super algebra $gl_{M|N}$ with respect to its arbitrary Borel subalgebra. It is related to solutions of 3 dimensional Yang-Baxter equation.

We prove the uniqueness of $R$ matrix on a tensor product of fundamental type representations of $U(e)$.

Then we give an explicit description of the spectral decomposition of the $R$ matrix and construct KR type modules of $U(e)$.

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