Browsing Mathematics by Author "Zhang, James"
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Alternate Approaches to the Cup Product and Gerstenhaber Bracket on Hochschild Cohomology
Negron, CrisThe Hochschild cohomology $HH^\bullet(A)$ of an algebra $A$ is a derived invariant of the algebra which admits both a graded ring structure (called the cup product) and a compatible graded Lie algebra structure (called the ... 
Classification of connected Hopf algebras up to primecube dimension
Wang, XingtingWe classify all connected Hopf algebras up to p^3 dimension over an algebraically closed field of characteristic p>0 under the mild restriction such that in dimension p^3, we only work over odd primes p when the primitive ... 
Hopf algebras of finite GelfandKirillov dimension
Zhuang, Guangbin (20131114)We study Hopf algebras of finite GelfandKirillov dimension. By analyzing the free pointed Hopf algebra F(t), we show the existence of certain Hopf subalgebras of pointed Hopf domains H whose GKdimension are finite and ... 
The Grothendieck Construction in Enriched, Internal and ∞Category Theory
Wong, Liang ZeThe Grothendieck construction takes a prestack (or pseudofunctor) B^op → Cat and returns a cartesian fibration over B. Classically, this construction works for categories with sets of morphisms. Enriched categories have ...