搜索结果: 1-15 共查到“代数学其他学科 C-algebra”相关记录22条 . 查询时间(0.125 秒)
Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
Noncommutative oscillators Hopf algebra twist deformation principles derivation
2011/3/3
Noncommutative oscillators are first-quantized through an abelian Drinfel’d twist deformation of a Hopf algebra and its action on a module. Several impor-tant and subtle issues making possible the qua...
The incidence Hopf algebra of graphs
combinatorial Hopf algebra graph chromatic polynomial
2011/2/24
The graph algebra is a commutative, cocommutative, graded,connected incidence Hopf algebra, whose basis elements correspond to fi-nite simple graphs and whose Hopf product and coproduct admit simple c...
A note on the $O_q(\hat{sl_2})$ algebra
Current algebra q− Onsager algebra Quantum integrable models
2011/2/25
An explicit homomorphism that relates the elements of the infinite dimensional non-Abelian
algebra generating Oq(csl2) currents and the standard generators of the q−Onsager algebra is proposed....
A Boolean algebra and a Banach space obtained by push-out iteration
Boolean algebra Banach space push-out iteration
2011/2/25
Under the assumption that c is a regular cardinal, we prove the existence and uniqueness of a Boolean algebra B of size c defined by sharing the main structural properties that P(!)/fin has under CH a...
Instanton partition functions in N=2 SU(N) gauge theories with a general surface operator, and their W-algebra duals
Instanton partition functions N=2 SU(N) gauge theories general surface operator W-algebra duals
2011/3/2
We write down an explicit conjecture for the instanton partition functions in 4d N = 2 SU(N) gauge theories in the presence of a certain type of surface operator.
We study instanton partition functions for N = 2 superconformal Sp(1) and SO(4) gauge theories. We find that they agree with the corresponding U(2) instanton partitions functions only after a non-triv...
We consider the bound quiver algebras whose ordinary quiver is that of a canonical algebra. We determine which of those algebras are hereditary, tilted, quasitilted, weakly shod or laura algebras.
Bijective evaluation of the connection coefficients of the double coset algebra
Bijective evaluation the connection coefficients
2010/11/24
This paper is devoted to the evaluation of the generating series of the connection coefficients of the double cosets of the hyperoctahedral group. Hanlon, Stanley, Stembridge (1992) showed that this s...
Cyclotomic Temperley-Lieb algebra of type D and its representation theory
Cyclotomic Temperley-Lieb algebra representation theory
2010/11/23
We define a new class of algebras, cyclotomic Temperley-Lieb algebras of type D, in a diagrammatic way, which is a generalization of Temperley-Lieb algebras of type D. We prove that the cyclotomic Te...
The Clifford Algebra approach to Quantum Mechanics A: The Schroedinger and Pauli Particles
The Clifford Algebra approach Quantum Mechanics
2010/11/23
In this paper we show how all the quantum properties of Schroedinger and Pauli particles can be described entirely from within a Clifford algebra taken over the reals. There is no need to appeal to a...
On the stability of weight spaces of enveloping algebra in prime characteristic
enveloping algebra prime characteristic
2010/11/15
By the result of Dixmier, any weight space of enveloping algebra of Lie algebra L over a field of characteristic 0 is adL stable. In this paper we will show that this result need not be true, if F is...
Degree growth of monomial maps and McMullen's polytope algebra
monomial maps McMullen's polytope algebra
2010/11/18
We compute all dynamical degrees of monomial maps. Our approach is based on the isomorphism between the polytope algebra of P. McMullen and the universal cohomology of complete toric varieties.
We define and study a combinatorial Hopf algebra dRec with basis elements indexed by diagonal rectangulations of a square. This Hopf algebra provides an intrinsic combinatorial realization of the Hop...
The Freudenthal product and orbits in the Jordan algebra over the exceptional Lie group of type F$_{4(-20)}$
Freudenthal orbits Jordan algebra
2010/11/9
The orbit decomposition is presented for the real form of complex simple Jordan algebra with the automorphism group F$_{4(-20)}$, explicitly, in terms of the cross product and the characteristic polyn...
A Super Version of the Connes-Moscovici Hopf Algebra
the Connes-Moscovici Hopf Algebra Quantum Algebra
2010/11/18
We define a super version of the Connes-Moscovici Hopf algebra, $\mathcal{H}_1$. For that, we consider the supergroup $G^s=Diff^+(\mathbb{R}^{1,1})$ of orientation preserving diffeomorphisms of the s...