Matches in SemOpenAlex for { <https://semopenalex.org/work/W2951702054> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2951702054 abstract "In these lectures we develop the projection operator method for groups. Here the term quantum groups means q-deformed universal enveloping algebras of contragredient Lie (super)algebras of finite growth. Contains of the lectures can be divided on two parts. Basis fragments of the first part are: combinatorial structure of root systems, the q-analog of the Cartan-Weyl basis, the extremal projector and the universal R-matrix for any contragredient Lie (super)algebra of finite growth. The explicit expressions for the extremal projectors and the universal R-matrices are ordered products of special q-series depending on noncommutative Cartan-Weyl generators. In second part we consider some applications of the extremal projectors. Here we use the projector operator method to develop the theory of the Clebsch-Gordan coefficients for the algebras U_q(su(2)) and U_q(su(3)). In particular, we give a very compact general formula for the canonical U_q(su(3))supset U_q(su(2)) Clebsch-Gordan coefficients in terms of the U_q(su(2)) Wigner 3nj-symbols which are connected with the basic hyperheometric series. Then we apply the projection operator method for the construction of the q-analog of the Gelfand-Tsetlin basis for U_q(su(n)). Finally using analogy between the extremal projector p(U_q(sl(2))) of the algebra U_q(sl(2)) and the delta(x)-function we introduce 'adjoint extremal projectors' p^{(n)}(U_q(sl(2)) (n=1,2,...) which are some generalizations of the extremal projector p(U_q(sl(2))), and which are analogies of the derivatives of the delta(x)-function, delta^{(n)}(x)." @default.
- W2951702054 created "2019-06-27" @default.
- W2951702054 creator A5070366751 @default.
- W2951702054 date "2001-04-03" @default.
- W2951702054 modified "2023-09-27" @default.
- W2951702054 title "Projection operator method for quantum groups" @default.
- W2951702054 cites W1628451562 @default.
- W2951702054 cites W1875868250 @default.
- W2951702054 cites W1980288486 @default.
- W2951702054 cites W2123877559 @default.
- W2951702054 cites W2612451553 @default.
- W2951702054 cites W2726519937 @default.
- W2951702054 cites W2730934185 @default.
- W2951702054 hasPublicationYear "2001" @default.
- W2951702054 type Work @default.
- W2951702054 sameAs 2951702054 @default.
- W2951702054 citedByCount "0" @default.
- W2951702054 crossrefType "posted-content" @default.
- W2951702054 hasAuthorship W2951702054A5070366751 @default.
- W2951702054 hasConcept C104317684 @default.
- W2951702054 hasConcept C11413529 @default.
- W2951702054 hasConcept C12426560 @default.
- W2951702054 hasConcept C136119220 @default.
- W2951702054 hasConcept C143724316 @default.
- W2951702054 hasConcept C151730666 @default.
- W2951702054 hasConcept C158448853 @default.
- W2951702054 hasConcept C17020691 @default.
- W2951702054 hasConcept C185592680 @default.
- W2951702054 hasConcept C191413488 @default.
- W2951702054 hasConcept C202444582 @default.
- W2951702054 hasConcept C2524010 @default.
- W2951702054 hasConcept C33923547 @default.
- W2951702054 hasConcept C40233952 @default.
- W2951702054 hasConcept C41054515 @default.
- W2951702054 hasConcept C51568863 @default.
- W2951702054 hasConcept C55493867 @default.
- W2951702054 hasConcept C57493831 @default.
- W2951702054 hasConcept C68797384 @default.
- W2951702054 hasConcept C86339819 @default.
- W2951702054 hasConcept C86803240 @default.
- W2951702054 hasConceptScore W2951702054C104317684 @default.
- W2951702054 hasConceptScore W2951702054C11413529 @default.
- W2951702054 hasConceptScore W2951702054C12426560 @default.
- W2951702054 hasConceptScore W2951702054C136119220 @default.
- W2951702054 hasConceptScore W2951702054C143724316 @default.
- W2951702054 hasConceptScore W2951702054C151730666 @default.
- W2951702054 hasConceptScore W2951702054C158448853 @default.
- W2951702054 hasConceptScore W2951702054C17020691 @default.
- W2951702054 hasConceptScore W2951702054C185592680 @default.
- W2951702054 hasConceptScore W2951702054C191413488 @default.
- W2951702054 hasConceptScore W2951702054C202444582 @default.
- W2951702054 hasConceptScore W2951702054C2524010 @default.
- W2951702054 hasConceptScore W2951702054C33923547 @default.
- W2951702054 hasConceptScore W2951702054C40233952 @default.
- W2951702054 hasConceptScore W2951702054C41054515 @default.
- W2951702054 hasConceptScore W2951702054C51568863 @default.
- W2951702054 hasConceptScore W2951702054C55493867 @default.
- W2951702054 hasConceptScore W2951702054C57493831 @default.
- W2951702054 hasConceptScore W2951702054C68797384 @default.
- W2951702054 hasConceptScore W2951702054C86339819 @default.
- W2951702054 hasConceptScore W2951702054C86803240 @default.
- W2951702054 hasLocation W29517020541 @default.
- W2951702054 hasOpenAccess W2951702054 @default.
- W2951702054 hasPrimaryLocation W29517020541 @default.
- W2951702054 hasRelatedWork W1882749337 @default.
- W2951702054 hasRelatedWork W191283760 @default.
- W2951702054 hasRelatedWork W2025771889 @default.
- W2951702054 hasRelatedWork W2046933508 @default.
- W2951702054 hasRelatedWork W2048246552 @default.
- W2951702054 hasRelatedWork W2072586775 @default.
- W2951702054 hasRelatedWork W2284257752 @default.
- W2951702054 hasRelatedWork W2478069136 @default.
- W2951702054 hasRelatedWork W2589726427 @default.
- W2951702054 hasRelatedWork W2951799907 @default.
- W2951702054 hasRelatedWork W2952412556 @default.
- W2951702054 hasRelatedWork W2963796904 @default.
- W2951702054 hasRelatedWork W3099045342 @default.
- W2951702054 hasRelatedWork W3101918628 @default.
- W2951702054 hasRelatedWork W3102293971 @default.
- W2951702054 hasRelatedWork W3103173295 @default.
- W2951702054 hasRelatedWork W3125491655 @default.
- W2951702054 hasRelatedWork W3128934505 @default.
- W2951702054 hasRelatedWork W749709246 @default.
- W2951702054 hasRelatedWork W1980039491 @default.
- W2951702054 isParatext "false" @default.
- W2951702054 isRetracted "false" @default.
- W2951702054 magId "2951702054" @default.
- W2951702054 workType "article" @default.