Results 31 to 40 of about 402,561 (332)

Representations of Hecke algebras [PDF]

open access: yesTransactions of the American Mathematical Society, 1988
We find all operators of a certain type that satisfy the braid relations corresponding to any generalized Cartan matrix.
openaire   +3 more sources

Massless particles, electromagnetism, and Rieffel induction [PDF]

open access: yes, 1994
The connection between space-time covariant representations (obtained by inducing from the Lorentz group) and irreducible unitary representations (induced from Wigner's little group) of the Poincar\'{e} group is re-examined in the massless case.
Landsman, N. P., Wiedemann, U. A.
core   +3 more sources

Noncomplete affine structures on Lie algebras of maximal class

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
Every affine structure on Lie algebra 𝔤 defines a representation of 𝔤 in aff(ℝn). If 𝔤 is a nilpotent Lie algebra provided with a complete affine structure then the corresponding representation is nilpotent.
E. Remm, Michel Goze
doaj   +1 more source

Graphical representation of genetic code algebra [PDF]

open access: yesNetwork Biology, 2023
During the translation process, the genetic code is the nucleotide sequence that determines the amino acid sequence of protein molecules. A codon is a universal triplet of nucleotides that codes for an amino acid. A group G's identity graph is a graph in
Birinchi Kumar Boruah, Tazid Ali
doaj  

σ-monogenic functions in commutative algebras

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2023
In finite-dimensional commutative associative algebra, the concept of σ-monogenic function is introduced. Necessary and sufficient conditions for σ-monogeneity have been established.
Vitalii Shpakivskyi
doaj   +1 more source

Representations of the Steenrod Algebra

open access: yesJournal of Algebra, 1993
The authors establish a relationship between the Steenrod algebra and a maximal unipotent subgroup of a general linear group using the algebra of distributions, which allows the representation theory of the general linear groups --- for example, \textit{R. W. Carter} and \textit{G. Lusztig}'s work on the Weyl modules [Math. Z.
M. Kaneda   +3 more
openaire   +2 more sources

Set-partition tableaux and representations of diagram algebras [PDF]

open access: yes, 2019
The partition algebra is an associative algebra with a basis of set-partition diagrams and multiplication given by diagram concatenation. It contains as subalgebras a large class of diagram algebras including the Brauer, planar partition, rook monoid ...
Halverson, Tom, Jacobson, Theodore N.
core   +3 more sources

On incidence algebras and their representations [PDF]

open access: yesPacific Journal of Mathematics, 2022
progress history: v1: preliminary version; v2: two applications added to the preliminary version; updated references, intro and fixed typos; acknowledgment added; v3: application to no-gap problem added; v4: the applications to graphs and linear algebra added; v5: application to the classification of thin modules over any finite dimensional algebra ...
Iovanov, Miodrag C., Koffi, Gerard D.
openaire   +2 more sources

Cyclic representations of the periodic Temperley Lieb algebra, complex Virasoro representations and stochastic processes [PDF]

open access: yes, 2014
An $N$ ${L} \choose {L/2}$-dimensional representation of the periodic Temperley-Lieb algebra $TL_L(x)$ is presented. It is also a representation of the cyclic group $Z_N$.
Alcaraz, Francisco C.   +2 more
core   +2 more sources

Theory of B(X)-Module: Algebraic Module Structure of Generally Unbounded Infinitesimal Generators

open access: yesAdvances in Mathematical Physics, 2020
The concept of logarithmic representation of infinitesimal generators is introduced, and it is applied to clarify the algebraic structure of bounded and unbounded infinitesimal generators.
Yoritaka Iwata
doaj   +1 more source

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