Results 51 to 60 of about 411,292 (190)

Multinomial fix-Mahonian statistics [PDF]

Surveys in Mathematics and its Applications
The permutation statistics fix, des, maj, and inv have different original contexts, and appear in diverse scientific domains such as probability, physics, and genomics.
Hery Randriamaro
doaj  

Junction Type Representations of the Temperley-Lieb Algebra and Associated Symmetries

Symmetry, Integrability and Geometry: Methods and Applications, 2010
Inspired by earlier works on representations of the Temperley-Lieb algebra we introduce a novel family of representations of the algebra. This may be seen as a generalization of the so called asymmetric twin representation.
Anastasia Doikou, Nikos Karaiskos
doaj   +1 more source

On Representations of sl(n, C) Compatible with a Z2-grading

Acta Polytechnica, 2010
This paper extends existing Lie algebra representation theory related to Lie algebra gradings. The notion of a representation compatible with a given grading is applied to finite-dimensional representations of sl(n,C) in relation to its Z2-gradings.
M. Havlíček, E. Pelantová, J. Tolar
doaj  

Ring homomorphisms on real Banach algebras

International Journal of Mathematics and Mathematical Sciences, 2003
Let B be a strictly real commutative real Banach algebra with the carrier space ΦB. If A is a commutative real Banach algebra, then we give a representation of a ring homomorphism ρ:A→B, which needs not be linear nor continuous.
Takeshi Miura, Sin-Ei Takahasi
doaj   +1 more source

Algebras of right ample semigroups

Open Mathematics, 2018
Strict RA semigroups are common generalizations of ample semigroups and inverse semigroups. The aim of this paper is to study algebras of strict RA semigroups.
Guo Junying, Guo Xiaojiang
doaj   +1 more source

On the geometry underlying a real Lie algebra representation [PDF]

, 2012
Let $G$ be a real Lie group with Lie algebra $\mathfrak g$. Given a unitary representation $\pi$ of $G$, one obtains by differentiation a representation $d\pi$ of $\mathfrak g$ by unbounded, skew-adjoint operators.
Le-Bert, Rodrigo Vargas
core  

Quantum groups, Yang–Baxter maps and quasi-determinants

Nuclear Physics B, 2018
For any quasi-triangular Hopf algebra, there exists the universal R-matrix, which satisfies the Yang–Baxter equation. It is known that the adjoint action of the universal R-matrix on the elements of the tensor square of the algebra constitutes a quantum ...
Zengo Tsuboi
doaj   +1 more source

The Lie algebra cohomology of jets

, 2002
Let g be a finite-dimensional complex semi simple Lie algebra. We present a new calculation of the continuous cohomology of the Lie algebra z g[[z]]. In particular, we shall give an explicit formula for the Laplacian on the Lie algebra cochains, from ...
Kim, Yunhyong
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Spin one matter fields

European Physical Journal C: Particles and Fields
It is shown how spin one vector matter fields can be coupled to a Yang–Mills theory. Such matter fields are defined as belonging to a representation R of this Yang–Mills gauge algebra $$\mathfrak {g}$$ g .
Daniel O. R. Azevedo, Oswaldo M. Del Cima, Thadeu D. S. Dias, Daniel H. T. Franco, Emílio D. Pereira, Olivier Piguet   +5 more
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Representation theory of solitons

Journal of High Energy Physics
Solitons in two-dimensional quantum field theory exhibit patterns of degeneracies and associated selection rules on scattering amplitudes. We develop a representation theory that captures these intriguing features of solitons.
Clay Córdova, Nicholas Holfester, Kantaro Ohmori   +2 more
doaj   +1 more source