Spin chain connected to the quantum superalgebra .
Squared Hopf algebras and reconstruction theorems
Given an abelian 𝑉-linear rigid monoidal category 𝑉, where 𝑉 is a perfect field, we define squared coalgebras as objects of cocompleted 𝑉 ⨂ 𝑉 (Deligne's tensor product of categories) equipped with the appropriate notion of comultiplication. Based on this, (squared) bialgebras and Hopf algebras are defined without use of braiding. If 𝑉 is the category of 𝑉-vector spaces, squared (co)algebras coincide with conventional ones. If 𝑉 is braided, a braided Hopf algebra can be obtained from a squared...
Stability of commuting maps and Lie maps
Let A be an ultraprime Banach algebra. We prove that each approximately commuting continuous linear (or quadratic) map on A is near an actual commuting continuous linear (resp. quadratic) map on A. Furthermore, we use this analysis to study how close are approximate Lie isomorphisms and approximate Lie derivations to actual Lie isomorphisms and Lie derivations, respectively.
Stable bundles and algebraically completely integrable systems
Stably free, projective right ideals
Standard domino tableaux and asymptotic Hecke algebras
Standard Subalgebras of Semisimple Lie Algebras and Computer-Aided for Enumeration
The aim of this work is to enumerate the standard subalgebras of a semisimple Lie algebra. The computations are based on the approach developed by Yu. Khakimdjanov in 1974. In this paper, we give a general formula for the number of standard subalgebras not necessarly nilpotent of a semisimple Lie algebra of type A and the exceptional semisimple Lie algebras. With computer aided, we enumerate this number for the other types of small rank. Therefore, We deduce the number in the nilpotent case and...
Star-products on symplectic manifolds
Statistics and quantum group symmetries
Using 'twisted' realizations of the symmetric groups, we show that Bose and Fermi statistics are compatible with transformations generated by compact quantum groups of Drinfel'd type.
Strange phenomena related to ordering problems in quantizations.
Strictly nontame primitive elements of the free metabelian Lie algebra of rank 3.
String functions for affine Lie algebras integrable modules.
Structurable triples, Lie triples, and symmetric spaces.
Structure des espaces préhomogènes associés à certaines algèbres de Lie graduées.
Structure of perfect Lie algebras without center and outer derivations
Structure theory for second order 2D superintegrable systems with 1-parameter potentials.
Structure theory for the group algebra of the symmetric group, with applications to polynomial identities for the octonions
This is a survey paper on applications of the representation theory of the symmetric group to the theory of polynomial identities for associative and nonassociative algebras. In §1, we present a detailed review (with complete proofs) of the classical structure theory of the group algebra of the symmetric group over a field of characteristic 0 (or ). The goal is to obtain a constructive version of the isomorphism where is a partition of and counts the standard tableaux of shape ....
Subalgebras of finite codimension in symplectic Lie algebra
Subalgebras of germs of vector fields leaving fixed in , of finite codimension in symplectic Lie algebra contain the ideal of germs infinitely flat at . We give an application.
Sugawara operators and Kac-Kazhdan conjecture.
Suites inertes dans les algèbres de Lie grasuées. ("Autopsie d'un meurtre II").