Symmetry and reversibility properties for quantum algebras and skew Poincaré-Birkhoff-Witt extensions
نویسندگان
چکیده
منابع مشابه
M ar 2 00 5 ROTA - BAXTER ALGEBRAS , DENDRIFORM ALGEBRAS AND POINCARÉ - BIRKHOFF - WITT THEOREM
Rota-Baxter algebras appeared in both the physics and mathematics literature. It is of great interest to have a simple construction of the free object of this algebraic structure. For example, free commutative Rota-Baxter algebras relate to double shuffle relations for multiple zeta values. The interest in the non-commutative setting arised in connection with the work of Connes and Kreimer on t...
متن کامل2 00 5 Rota - Baxter Algebras , Dendriform Algebras and Poincaré - Birkhoff - Witt Theorem
Rota-Baxter algebras appeared in both the physics and mathematics literature. It is of great interest to have a simple construction of the free object of this algebraic structure. For example, free commutative Rota-Baxter algebras relate to double shuffle relations for multiple zeta values. The interest in the non-commutative setting arose in connection with the work of Connes and Kreimer on th...
متن کامل3 The Poincaré - Birkhoff - Witt Theorem for Super Yangians
Here we describe a Gauss decomposition of the Yangian Y (glm|n) of the general linear Lie superalgebra. This gives a connection between this Yangian and the Yangian of the classical Lie superalgebra Y (A(m− 1, n− 1)) defined and studied in papers by Stukopin. We also show that the coefficients of the quantum Berezinian generate the centre of the Yangian Y (glm|n). This is a conjecture of Nazaro...
متن کاملPoincaré ’ S Proof of the so - Called Birkhoff - Witt Theorem
In honor of the 100th birthday of the article, " Sur les groupes continus " Abstract: A methodical analysis of the research related to the article , " Sur les groupes continus " , of Henri Poincaré reveals many historical misconceptions and inaccuracies regarding his contribution to Lie theory. A thorough reading of this article confirms the precedence of his discovery of many important concept...
متن کاملPoincaré ’ S Proof of the so - Called Birkhoff - Witt Theorem
In honor of the 100th birthday of the article, " Sur les groupes continus " Abstract. A methodical analysis of the research related to the article, " Sur les groupes continus " , of Henri Poincaré reveals many historical misconceptions and inaccuracies regarding his contribution to Lie theory. A thorough reading of this article confirms the precedence of his discovery of many important concepts...
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ژورنال
عنوان ژورنال: Ingeniería y Ciencia
سال: 2018
ISSN: 1794-9165,2256-4314
DOI: 10.17230/ingciencia.14.27.2