Results 11 to 20 of about 12,517 (163)
Weak Hopf algebras corresponding to Cartan matrices [PDF]
Journal of Mathematical Physics, 2005 We replace the group of group-like elements of the quantized enveloping algebra $U_q({\frak{g}})$ of a finite dimensional semisimple Lie algebra ${\frak g}$ by some regular monoid and get the weak Hopf algebra ${\frak{w}}_q^{\sf d}({\frak g})$.
Chin W. +7 more
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Structure Theorems for Bicomodule Algebras Over Quasi-Hopf Algebras, Weak Hopf Algebras, and Braided Hopf Algebras [PDF]
Communications in Algebra, 2016 24 pages, many ...
Dello, Jeroen +3 more
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Inner actions of weak Hopf algebras [PDF]
Journal of Algebra and Its Applications, 2017 Let [Formula: see text] be an associative ring and [Formula: see text] idempotent elements of [Formula: see text]. In this paper we introduce the notion of [Formula: see text]-invertibility for an element of [Formula: see text] and use it to define inner actions of weak Hopf algebras.
Bagio, Dirceu +2 more
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When weak Hopf algebras are Frobenius [PDF]
Proceedings of the American Mathematical Society, 2009 We investigate when a weak Hopf algebra H H is Frobenius. We show this is not always true, but it is true if the semisimple base algebra A A has all its matrix blocks of the same dimension. However, if A A is a semisimple algebra not having this property, there is a weak Hopf algebra H ...
Iovanov, Miodrag Cristian, Kadison, Lars
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Doi-hopf modules over weak hopf algebras [PDF]
Communications in Algebra, 2000 The theory of Doi-Hopf modules is generalized to Weak Hopf algebras.
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基本弱Hopf代数和弱覆盖箭图(Basic weak Hopf algebra and weak covering quiver)
Zhejiang Daxue xuebao. Lixue ban, 2016 We introduce a finite-dimensional basic and split weak Hopf algebra H over an algebraically closed field k with strongly graded Jacobson radical r. We obtain some structures of a finite-dimensional basic and split semilattice graded weak Hopf algebra,and
AHMEDMunir(穆尼尔•艾哈迈德) +1 more
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Weak projections onto a braided Hopf algebra [PDF]
Journal of Algebra, 2007 We show that, under some mild conditions, a bialgebra in an abelian and coabelian braided monoidal category has a weak projection onto a formally smooth (as a coalgebra) sub-bialgebra with antipode; see Theorem 1.12. In the second part of the paper we prove that bialgebras with weak projections are cross product bialgebras; see Theorem 2.12.
ARDIZZONI, Alessandro +2 more
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Comodules over weak multiplier bialgebras [PDF]
, 2014 This is a sequel paper of arXiv:1306.1466 in which we study the comodules over a regular weak multiplier bialgebra over a field, with a full comultiplication.
Böhm, Gabriella
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Quantum Groupoids Acting on Semiprime Algebras
Advances in Mathematical Physics, 2011 Following Linchenko and Montgomery's arguments we show that the smash product of an involutive weak Hopf algebra and a semiprime module algebra, satisfying a polynomial identity, is semiprime.
Inês Borges, Christian Lomp
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Zhejiang Daxue xuebao. Lixue ban, 2008 定义了一个关于有限维半单李代数的弱量子代数，证明它是一个弱Hopf代数，并构造了它的一组基，同时讨论了上的最高权模和Verma模.
YELi-xia(叶丽霞) +1 more
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