Results 51 to 60 of about 216,282 (303)
Bicovariant Quantum Algebras and Quantum Lie Algebras [PDF]
, 1992 A bicovariant calculus of differential operators on a quantum group is constructed in a natural way, using invariant maps from \fun\ to \uqg\ , given by elements of the pure braid group.
B. Drabant +20 more
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On (m,n)-Derivations of Some Algebras
Demonstratio Mathematica, 2014 Let A be a unital algebra, δ be a linear mapping from A into itself and m, n be fixed integers. We call δ an (m, n)-derivable mapping at Z, if mδ(AB) + nδ(BA) = mδ(A)B + mAδ(B) + nδ(B)A for all A,B ∈ A with AB = Z.
Shen Qihua, Li Jiankui, Guo Jianbin
doaj +1 more source
Applications of BGP-reflection functors: isomorphisms of cluster algebras
, 2006 Given a symmetrizable generalized Cartan matrix $A$, for any index $k$, one can define an automorphism associated with $A,$ of the field $\mathbf{Q}(u_1, >..., u_n)$ of rational functions of $n$ independent indeterminates $u_1,..., u_n.$ It is an ...
A. Bernstein +15 more
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On generators of abelian Kadison–Singer algebras in matrix algebras
Linear Algebra and its Applications, 2014 Let \(\mathcal H\) be a Hilbert space of dimension greater than two and let \(\mathcal B(\mathcal H)\) be the algebra of all bounded linear operators on \(\mathcal H\). A subalgebra \(\mathfrak A\) of \(\mathcal B(\mathcal H)\) is called a Kadison-Singer algebra (or KS-algebra) if \(\mathfrak A\) is reflexive and maximal with respect to the diagonal ...
Wu, Wenming, Yuan, Wei
openaire +2 more sources
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Notes on parameters of quiver Hecke algebras
, 2012 Varagnolo-Vasserot and Rouquier proved that, in a symmetric generalized Cartan matrix case, the simple modules over the quiver Hecke algebra with a special parameter correspond to the upper global basis.
Kashiwara, Masaki
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Irredundant generating sets for matrix algebras
Linear Algebra and its Applications20 pages. Comments are welcome. Changes from last version: Very mild corrections.
Blumenthal, Yonatan, First, Uriya A.
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Revealing Protein–Protein Interactions Using a Graph Theory‐Augmented Deep Learning Approach
Advanced Intelligent Discovery, EarlyView.This study presents a fast, cost‐efficient approach for classifying protein–protein interactions by integrating graph‐theory parametrization with deep learning (DL). Multiscale features extracted from graph‐encoded polarized‐light microscopy (PLM) images enable accurate prediction of binding strengths.
Bahar Dadfar +5 more
wiley +1 more source
Quantum spin chains from Onsager algebras and reflection K-matrices
Nuclear Physics B, 2019 We present a representation of the generalized p-Onsager algebras Op(An−1(1)), Op(Dn+1(2)), Op(Bn(1)), Op(B˜n(1)) and Op(Dn(1)) in which the generators are expressed as local Hamiltonians of XXZ type spin chains with various boundary terms reflecting the
Atsuo Kuniba, Vincent Pasquier
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On generalized Melvin solutions for Lie algebras of rank 3
, 2018 Generalized Melvin solutions for rank-$3$ Lie algebras $A_3$, $B_3$ and $C_3$ are considered. Any solution contains metric, three Abelian 2-forms and three scalar fields. It is governed by three moduli functions $H_1(z),H_2(z),H_3(z)$ ($z = \rho^2$ and $\
Bolokhov, S. V., Ivashchuk, V. D.
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