Results 31 to 40 of about 398,973 (330)

Irreducible Representations of Algebras [PDF]

open access: yesCanadian Journal of Mathematics, 1974
The concept of the universal enveloping algebra of a (not necessarily associative) algebra X is basic to the study of the representations of X, because there is a one-to-one correspondence between the representations of X and . If one is only interested in studying a certain class of the representations of X, the thought occurs that there may exist a ...
openaire   +1 more source

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 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

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

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

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

Representations of Boolean algebras [PDF]

open access: yesBulletin of the American Mathematical Society, 1941
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

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