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SUMMARY:Zahra Nazemian (Universitaet Graz)
DTSTART:20241204T100000Z
DTEND:20241204T110000Z
DTSTAMP:20260423T021110Z
UID:EQuAL/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/32/">P
 oisson Modules over Hopf Poisson Order Algebras</a>\nby Zahra Nazemian (Un
 iversitaet Graz) as part of European Quantum Algebra Lectures (EQuAL)\n\n\
 nAbstract\nHopf Poisson order (HPO) algebras were introduced and studied b
 y Brown\, Nazemian\, and Zhang (preprint\, 2024). We investigate the class
  of Poisson modules over HPO algebras and show that it forms a monoidal ca
 tegory.\n \nMoreover\, we prove that the left homological integral of an H
 PO algebra $H$\, denoted $ \\int_H^l$\, is a left Poisson module. It is al
 so a right Poisson module if and only if $\\int_H^l = \\int_H^r $. \n \nRe
 ferences:\n- Hopf Poisson Order Algebras\, K. Brown\, Z. Nazemian\, and J.
 J. Zhang\, (preprint\, 2024).\n- Homological Integrals of Hopf Algebras\, 
 D.-M. Lu\, Q.-S. Wu\, and J.J. Zhang\, Trans. Amer. Math. Soc. 359 (2007)\
 , 4945–4975.\n- Category of Poisson Modules over HPO Algebras\, Z. Nazem
 ian\, in progress.\n
LOCATION:https://researchseminars.org/talk/EQuAL/32/
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