Results 11 to 20 of about 408,661 (238)
Gelfand Models for Diagram Algebras [PDF]
A Gelfand model for a semisimple algebra $\mathsf{A}$ over $\mathbb{C}$ is a complex linear representation that contains each irreducible representation of $\mathsf{A}$ with multiplicity exactly one.
Tom Halverson
doaj +1 more source
On special covariants in the exterior algebra of a simple Lie algebra [PDF]
We study the subspace of the exterior algebra of a simple complex Lie algebra linearly spanned by the copies of the little adjoint representation or, in the case of the Lie algebra of traceless matrices, by the copies of the n-th symmetric power of the ...
De Concini, Corrado +3 more
core +2 more sources
Hamiltonian Quantization of Chern-Simons theory with SL(2,C) Group [PDF]
We analyze the hamiltonian quantization of Chern-Simons theory associated to the universal covering of the Lorentz group SO(3,1). The algebra of observables is generated by finite dimensional spin networks drawn on a punctured topological surface.
Alekseev A Yu +22 more
core +5 more sources
W-representations of the fermionic matrix and Aristotelian tensor models
We show that the fermionic matrix model can be realized by W-representation. We construct the Virasoro constraints with higher algebraic structures, where the constraint operators obey the Witt algebra and null 3-algebra.
Lu-Yao Wang +3 more
doaj +1 more source
Electric-Magnetic duality and the "Loop Representation" in Abelian Gauge Theories [PDF]
Abelian Gauge Theories are quantized in a geometric representation that generalizes the Loop Representation and treates electric and magnetic operators on the same footing.
Leal, Lorenzo
core +2 more sources
On calibrated representations of the degenerate affine Periplectic Brauer algebra [PDF]
We initiate the representation theory of the degenerate affine periplectic Brauer algebra on n strands by constructing its finite-dimensional calibrated representations when n=2.
Zajj Daugherty +3 more
doaj
Noncomplete affine structures on Lie algebras of maximal class
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]
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
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
Theory of B(X)-Module: Algebraic Module Structure of Generally Unbounded Infinitesimal Generators
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

