Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Earl J. Taft"'
Publikováno v:
Communications in Algebra. 46:4590-4608
We study the connections between one-sided Hopf algebras and one-sided quantum quasigroups, tracking the four possible invertibility conditions for the left and right composite morphisms that combi...
Autor:
Earl J. Taft, Eric Müller
Publikováno v:
Communications in Algebra. 39:4751-4762
A polynomially recursive sequence satisfies a recursive relation with variable coefficients. The set of these sequences has the structure of a topological bialgebra. If such a sequence is of a combinatorial nature, a formula for its coproduct can (up
Autor:
Aaron Lauve, Earl J. Taft
Publikováno v:
Journal of Pure and Applied Algebra. 208:797-803
For each n ≥ 2 , we construct a left quantum group, i.e., a left Hopf algebra SL q ( n ) generated by comatrix units X i j , 1 ≤ i , j ≤ n , which has a left antipode but no right antipode. The quantum special linear group SL q ( n ) is a homom
Autor:
Earl J. Taft, Suemi Rodríguez-Romo
Publikováno v:
Journal of Algebra. 286(1):154-160
Bialgebras with a left antipode but no right antipode were constructed in the early 1980s in [J.A. Green et al., Left Hopf algebras, J. Algebra 65 (1980) 399–411; W.D. Nichols, E.J. Taft, The left antipodes of a left Hopf algebra, in: Contemp. Math
Autor:
Suemi Rodríguez-Romo, Earl J. Taft
Publikováno v:
Contemporary Mathematics. :377-384
Autor:
Earl J. Taft
Publikováno v:
Bulletin of the American Mathematical Society. 41:113-117
Publikováno v:
Advances in Applied Mathematics. 28:244-271
A recursive sequence is an infinite sequence of elements of some fixed ground field which satisfies a recursion relation of finite order. We shall investigate certain bialgebra structures on linear spaces of recursive sequences. By choosing appropria
Autor:
Earl J. Taft, Suemi Rodríguez-Romo
Publikováno v:
Letters in Mathematical Physics. 61:41-50
Starting with only three of the six relations defining the standard (Manin) GLq(2), we try to construct a quantum group. The antipode condition requires some new relations, but the process stops at a Hopf algebra with a Birkhoff–Witt basis of irred
Autor:
Uma N. Iyer, Earl J. Taft
Publikováno v:
Journal of Algebra and Its Applications. 16:1791001
Autor:
Siu-Hung Ng, Earl J. Taft
Publikováno v:
Journal of Pure and Applied Algebra. 151:67-88
We prove that all the Lie bialgebra structures on the one sided Witt algebra W 1 , on the Witt algebra W and on the Virasoro algebra V are triangular coboundary Lie bialgebra structures associated to skew-symmetric solutions r of the classical Yang-B