»ã±¨±êÌâ (Title)£ºBraid group actions on the Poisson homogeneous spaces arising from quantum symmetric pairs£¨BraidȺԴÓÚÁ¿×ӶԳƶÔÔÚ²´ËÉÆë´Î¿Õ¼äµÄ×÷Óã©

»ã±¨ÈË (Speaker)£ºÕÅÎ°éª ²©Ê¿£¨Ïã¸Û´óѧ£©

»ã±¨¹¦·ò (Time)£º2025Äê6ÔÂ24ÈÕ£¨Öܶþ£©15:30

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303

Ô¼ÇëÈË(Inviter)£º»Æºìæ·

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»ã±¨ÌáÒª£ºThe fundamental work of De Concini-Kac-Procesi shows that one can recover the dual Poisson Lie group G? by taking a suitable semi-classical limit on quantum groups. The quantum symmetric pairs are quantization of symmetric pairs,and they involve coideal subalgebras of quantum groups, called i-quantum groups.

Recently, Song obtained a class of (dual) Poisson homogeneous K¡Í\G?spaces by taking suitable semi-classical limits on i-quantum groups. In this talk, using the braid group actions on i-quantum groups, we will construct braid group actions and polynomial generators for the coordinate algebra O(K¡Í\G?). This is joint with Jinfeng Song (National University of Singapore).