Results 21 to 30 of about 409,693 (287)
On calibrated representations of the degenerate affine Periplectic Brauer algebra [PDF]
Surveys in Mathematics and its Applications, 2021 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
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Hamiltonian Quantization of Chern-Simons theory with SL(2,C) Group [PDF]
, 2002 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
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Representations of Leibniz Algebras [PDF]
Algebras and Representation Theory, 2014 This paper is devoted to the study of irreducible representations of Leibniz algebras. The authors establish a result which claims that irreducible Leibniz representations are very closely related to irreducible representations of the corresponding Lie algebra.
Fialowski, A., Mihálka, É. Zs.
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Noncomplete affine structures on Lie algebras of maximal class
International 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
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Graphical representation of genetic code algebra [PDF]
Network 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
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σ-monogenic functions in commutative algebras
Pracì 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
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Representations of Algebraic Groups [PDF]
Nagoya Mathematical Journal, 1963 Our purpose here is to study the irreducible representations of semisimple algebraic groups of characteristic p 0, in particular the rational representations, and to determine all of the representations of corresponding finite simple groups. (Each algebraic group is assumed to be defined over a universal field which is algebraically closed and of ...
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Electric-Magnetic duality and the "Loop Representation" in Abelian Gauge Theories [PDF]
, 1996 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
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Representations of Hecke algebras [PDF]
Transactions 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.
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Theory of B(X)-Module: Algebraic Module Structure of Generally Unbounded Infinitesimal Generators
Advances 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
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