搜索结果: 106-120 共查到“理学 Algebra”相关记录232条 . 查询时间(0.097 秒)
We apply the star product quantization to the Lie algebra. The quantization in terms of the star product is well known and the commutation relation in this case is called the $\theta$-deformation wher...
On non-local representations of the ageing algebra
On non-local representations the ageing algebra
2010/12/24
The ageing algebra is a local dynamical symmetry of many ageing systems, far from equilibrium, and with a dynamical exponent z=2. Here, new representations for an integer dynamical exponent z=n are co...
We show a different modification of Poincare algebra that also preserves Lorentz algebra. The change begins with how boosts affect spacetime in a way similar to how they affect the momenta in kappa Po...
We study the homology and cohomology groups of super Lie algebra of supersymmetries and of super Poincare algebra. We discuss in detail the calculation in dimensions D=10 and D=6. Our methods can be a...
We show how the Newton-Cartan formulation of Newtonian gravity can be obtained from gauging the Bargmann algebra, i.e., the centrally extended Galilean algebra. In this gauging procedure several curva...
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...
Dual Kappa Poincare Algebra
Lorentz Poincare and phase space algebras DSR kappa Poincare algebra
2010/12/21
We show a different modification of Poincare algebra that also preserves the Lorentz algebra. The change begins with how boosts affect space-time in a way similar to how boosts affect the momenta in k...
Category O for the rational Cherednik algebra associated to the complex reflection group G_12
the rational Cherednik algebra the complex reflection group G_12
2010/11/23
In this paper, we describe the irreducible representations in category O of the rational Cherednik algebra H_c(G_12,h) associated to the complex reflection group G_12 with reflection representation h ...
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 B: The Dirac Particle and its relation to the Bohm Approach
The Clifford Algebra Quantum Mechanics
2010/11/23
In this paper we present for the first time a complete description of the Bohm model of the Dirac particle. This result demonstrates again that the common perception that it is not possible to constr...
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...
A non-weakly amenable Banach algebra whose bidual is weakly amenable
Banach algebra weakly amenable
2010/11/9
We answer, in the negative, the question: Does a Banach algebra inherit weak amenability from its bidual?, which was open since 1996
On twin and anti-twin words in the support of the free Lie algebra
On twin anti-twin words the free Lie algebra
2010/11/11
Let $L_{K}(A)$ be the free Lie algebra on a finite alphabet $A$ over a commutative ring $K$ with unity. For a word $u$ in the free monoid $A^{*}$ let $\tilde{u}$ denote its reversal. Two words in $A^...