Results 61 to 70 of about 12,517 (163)
BICOVARIANT DIFFERENTIAL CALCULI ON A WEAK HOPF ALGEBRA
Taiwanese Journal of Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, Haixing +2 more
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Asymptotics of block Toeplitz determinants with piecewise continuous symbols
Communications on Pure and Applied Mathematics, Volume 78, Issue 1, Page 120-160, January 2025.Abstract We determine the asymptotics of the block Toeplitz determinants detTn(ϕ)$\det T_n(\phi)$ as n→∞$n\rightarrow \infty$ for N×N$N\times N$ matrix‐valued piecewise continuous functions ϕ$\phi$ with a finitely many jumps under mild additional conditions.
Estelle Basor +2 more
wiley +1 more source
Paths on graphs and associated quantum groupoids
, 2010 Given any simple biorientable graph it is shown that there exists a weak {*}-Hopf algebra constructed on the vector space of graded endomorphisms of essential paths on the graph.
Trinchero, R.
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On the existence of critical compatible metrics on contact 3‐manifolds
Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 79-95, January 2025.Abstract We disprove the generalized Chern–Hamilton conjecture on the existence of critical compatible metrics on contact 3‐manifolds. More precisely, we show that a contact 3‐manifold (M,α)$(M,\alpha)$ admits a critical compatible metric for the Chern–Hamilton energy functional if and only if it is Sasakian or its associated Reeb flow is C∞$C^\infty ...
Y. Mitsumatsu +2 more
wiley +1 more source
Weak multiplier Hopf algebras I. The main theory
Journal für die reine und angewandte Mathematik (Crelles Journal), 2013 Abstract A weak multiplier Hopf algebra is a pair (A, Δ) of a non-degenerate idempotent algebra A and a coproduct Δ on A. The coproduct is a coassociative homomorphism from A to the multiplier algebra M(A ⊗ A) with some natural extra properties (like the existence of a counit).
Van Daele, Alfons, Wang, Shuanhong
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Weak C-cleft extensions, weak entwining structures and weak Hopf algebras
Journal of Algebra, 2005 En este artigo formúlase a noción de extensión cleft feble para unha estructura entrelazante feble nunha categoría monoidal trenzada C. Próbase que, dada unha extensión deste tipo, se obtén unha xeneralización dun produto semidirecto a este contexto.
Alonso Álvarez, José Nicanor +3 more
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Weak C^*-Hopf Algebras and Multiplicative Isometries
, 1998 We show how the data of a finite dimensional weak C^*-Hopf algebra can be encoded into a pair (H,V) where H is a finite dimensional Hilbert space and V: H H --> H H is a partial isometry satisfying, among others, the pentagon equation. In case of V being unitary we recover the Baaj-Skandalis multiplicative unitary of the discrete compact type ...
Böhm, Gabriella, Szlachányi, Kornél
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On the Structure of Weak Hopf Algebras
Advances in Mathematics, 2002 Ams-latex, 21 ...
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Weak Hopf algebras and quantum groupoids [PDF]
Banach Center Publications, 2003 We give a detailed comparison between the notion of a weak Hopf algebra (also called a quantum groupoid by Nikshych and Vainerman), and that of a $\times_R$-bialgebra due to Takeuchi (and also called a bialgebroid or quantum (semi)groupoid by Lu and Xu).
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Dual Bialgebroids for Depth Two Ring Extensions
, 2001 We introduce a general notion of depth two for ring homomorphism N --> M, and derive Morita equivalence of the step one and three centralizers, R = C_M(N) and C = End_{N-M}(M \o_N M), via dual bimodules and step two centralizers A = End_NM_N and B = (M ...
Kadison, L., Szlachanyi, K.
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