Pbw bases of quantum groups
Splet15. jun. 2014 · In the theory of quantum groups, Lusztig , investigated braid group actions on U q (g) which allow the definition of root vectors and PBW bases. In analogy to the … SpletLet g be an untwisted affine Kac-Moody algebra and M_J(lambda) a Verma-type module for g with J-highest integral weight lambda. We construct quantum Verma-type modules M_J^q(lambda) over the quantum group U_q(g), investigate their properties and show that M_J^q(lambda) is a true quantum deformation of M_J(\l) in the sense that the weight …
Pbw bases of quantum groups
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http://school.freekaoyan.com/sh/ecnu/dongtai/20060928/36185.shtml Splet01. sep. 2024 · Download a PDF of the paper titled PBW bases for modified quantum groups, by Weiqiang Wang Download PDF Abstract: We construct a basis for a modified …
Splet28. sep. 2006 · [22] Lydon words and convex PBW bases for the two-parameter quantum groups of B,C,D types,(with M.Rosso,H.Strade), (in prepration) ... [24] Type G_2’s two-parameter quantum groups, (with Shi Q., Zhang HL), preprint 2005 [25) Vertex representations for Toroidal Lie Algebra of Type C , (with Xia L.), preprint 2005. Splet01. maj 2024 · We also discuss the correspondence for PBW-bases, by using a new type of PBW-bases of U q − obtained by Muthiah-Tingley, which is a generalization of PBW-bases constructed by Beck-Nakajima. Research article. Centers of generalized quantum groups. Journal of Pure and Applied Algebra, Volume 222, Issue 5, 2024, pp. 1203-1241.
SpletPBW-bases of quantum groups. Claus Michael Ringel Journal für die reine und angewandte Mathematik (1996) Volume: 470, page 51-88 ISSN: 0075-4102; 1435-5345/e Access Full Article Access to full text How to cite MLA BibTeX RIS Ringel, Claus Michael. "PBW-bases of quantum groups.." Splet06. nov. 2014 · Abstract. We derive a family of solutions to the tetrahedron equation using the RTT presentation of a two parametric quantized algebra of regular functions on an upper triangular subgroup of GL ( n ). The key ingredients of the construction are the longest element of the Weyl group, the quantum dilogarithm function, and central elements of the ...
Splet01. mar. 2016 · Quantum groups. Analogous to the classical setup, a PBW filtration for quantum groups should be an N-filtration of U q (n −) such that the associated graded …
SpletFirst we establish that the map defined in [L, Sect. 40.2.5 (a)] is an isomorphism for certain admissible sequences. Second we show the map gives rise to a convex basis of Poincaré … can you shop gordmans onlineSpletArticle PBW-bases of quantum groups. was published on January 1, 1996 in the journal Journal für die reine und angewandte Mathematik (volume 1996, issue 470). can you shop family dollar onlineSplet5. Monomial bases and PBW bases of Hall algebras for ıquivers 33 5.1. Monomial basis of H(kQ) 33 5.2. Monomial bases for Hall algebras of ıquivers 34 5.3. PBW bases for Hall algebras of ıquivers 36 Part 2. ıHall Algebras and ıQuantum Groups 37 6. Quantum symmetric pairs and ıquantum groups 37 6.1. Quantum groups 37 6.2. The ıquantum ... can you shop for pmi insuranceSplet14. jan. 2004 · Rosso and Green have shown how to embed the positive part U q ( ) of a quantum enveloping algebra U q ( ) in a quantum shuffle algebra. In this paper we study some properties of the image of the dual canonical basis B * of U q ( ) under this embedding Φ. This is motivated by the fact that when is of type A r , the elements of Φ(B * ) are q … can you shop disney outlet onlineSpletIntuitive meaning. The discovery of quantum groups was quite unexpected since it was known for a long time that compact groups and semisimple Lie algebras are "rigid" objects, in other words, they cannot be "deformed". One of the ideas behind quantum groups is that if we consider a structure that is in a sense equivalent but larger, namely a group algebra … brionah tester shootingSplet22. feb. 2024 · We study PBW bases of the untwisted quantum loop group Uq(Lg) (in the Drinfeld new presentation) using the combinatorics of loop words, by generalizing the treatment of [28, 29, 42] in the finite type case. As an application, we prove that Enriquez’ homomorphism [11] from the positive half of the quantum loop group to the … brionah tester tnSplet14. sep. 2024 · We show how affine PBW bases can be used to construct affine MV polytopes, and that the resulting objects agree with the affine MV polytopes recently constructed using either preprojective algebras or KLR algebras. can you shop costco online without membership