Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Uma N. Iyer"'
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...
Publikováno v:
Linear Algebra and its Applications. 501:254-262
We study the algebra of differential operators on the triangular algebras and the upper triangular algebras. We further identify all the ideals of the algebra of differential operators on the upper triangular algebras.
Publikováno v:
Journal of Nonlinear Mathematical Physics. 17:253
Cartan described some of the finite dimensional simple Lie algebras and three of the four series of simple infinite dimensional vectorial Lie algebras with polynomial coefficients as prolongs, which now bear his name. The rest of the simple Lie algeb
Publikováno v:
Journal of Nonlinear Mathematical Physics. 17:311
The classification of simple finite dimensional modular Lie algebras over algebraically closed fields of characteristic p > 3 (described by the generalized Kostrikin–Shafarevich conjecture) being completed due to Block, Wilson, Premet and Strade (w
Autor:
Timothy C. McCune, Uma N. Iyer
Publikováno v:
Selecta Mathematica. 18:329-355
Following the definitions of the algebras of differential operators, $\beta$-differential operators, and the quantum differential operators on a noncommutative (graded) algebra given in \cite{LR}, we describe these operators on the free associative a
Autor:
David A. Jordan, Uma N. Iyer
We consider algebras of quantum differential operators, for appropriate bicharacters on a polynomial algebra in one indeterminate and for the coordinate algebra of quantum $n$-space for $n\geq 3$. In the former case a set of generators for the quantu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6dec8b5a084c9bad29a2313bdae2a6ef
Autor:
Uma N. Iyer, Timothy C. McCune
Publikováno v:
Journal of Algebra. 260(2):577-591
The universal enveloping algebra U(g) of a Lie algebra g acts on its representation ring R through D(R), the ring of differential operators on R. A quantised universal enveloping algebra (or "quantum group") is a deformation of a universal enveloping
Autor:
Uma N. Iyer
Publikováno v:
manuscripta mathematica. 109:121-129
Following the defintion of differential operators on noncommutative rings as given by Lunts and Rosenberg in [LR], we investigate the situation for Hopf algebras. We also prove some results for general rings, in order to understand the functorial pro
Autor:
Timothy C. Mccune, Uma N. Iyer
Publikováno v:
International Journal of Mathematics. 13:395-413
Following the definition given in [6], we compute the ring of quantum differential operators on the polynomial ring in 1 variable. We further study this ring.
Autor:
Uma N. Iyer, Earl J. Taft
Publikováno v:
Journal of Algebra and Its Applications. 16:1791001