Matches in SemOpenAlex for { <https://semopenalex.org/work/W2055395306> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W2055395306 abstract "Let $G$ be one of the classical compact, simple, centre-less, connected Lie groups or rank $n$ with a maximal torus $T$, the Lie algebra $clg$ and let ${ E_i, F_i, H_i, i=1, ldots, n }$ be the standard set of generators corresponding to a basis of the root system. Consider the adjoint-orbit space $M={ {rm Ad}_g(H_1),~g in G }$, identified with the homogeneous space $G/L$ where $L={ g in G:~{rm Ad}_g(H_1)=H_1}$. We prove that the `coordinate functions' ${ f_i, i=1, ldots, n }$, (where $f_i(g):=lambda_i({rm Ad}_g(H_1))$, ${ lambda_1, ldots, lambda_n}$ is basis of $clg^prime$) are `quadratically independent' in the sense that they do not satisfy any nontrivial homogeneous quadratic relations among them. Using this, it is proved that there is no genuine compact quantum group which can act faithtully on $C(M)$ such that the action leaves invariant the linear span of the above cordinate functions. As a corollary, it is also shown that any compact quantum group having a faithful action on the noncommutative manifold obtained by Rieffel deformation of $M$ satisfying a similar `linearity' condition must be a Rieffel-Wang type deformation of some compact group." @default.
- W2055395306 created "2016-06-24" @default.
- W2055395306 creator A5063915995 @default.
- W2055395306 date "2011-06-25" @default.
- W2055395306 modified "2023-09-27" @default.
- W2055395306 title "Quadratic independence of coordinate functions of certain homogeneous spaces and action of compact quantum groups" @default.
- W2055395306 cites W1565930783 @default.
- W2055395306 cites W1609975323 @default.
- W2055395306 cites W1657159272 @default.
- W2055395306 cites W1977694226 @default.
- W2055395306 cites W1983361323 @default.
- W2055395306 cites W2100438363 @default.
- W2055395306 cites W2106837101 @default.
- W2055395306 cites W2117472940 @default.
- W2055395306 cites W2962844730 @default.
- W2055395306 cites W2963288470 @default.
- W2055395306 cites W2963556831 @default.
- W2055395306 hasPublicationYear "2011" @default.
- W2055395306 type Work @default.
- W2055395306 sameAs 2055395306 @default.
- W2055395306 citedByCount "3" @default.
- W2055395306 countsByYear W20553953062012 @default.
- W2055395306 countsByYear W20553953062013 @default.
- W2055395306 crossrefType "posted-content" @default.
- W2055395306 hasAuthorship W2055395306A5063915995 @default.
- W2055395306 hasConcept C114614502 @default.
- W2055395306 hasConcept C136170076 @default.
- W2055395306 hasConcept C183877218 @default.
- W2055395306 hasConcept C187915474 @default.
- W2055395306 hasConcept C197893656 @default.
- W2055395306 hasConcept C202444582 @default.
- W2055395306 hasConcept C33923547 @default.
- W2055395306 hasConcept C5106717 @default.
- W2055395306 hasConcept C51568863 @default.
- W2055395306 hasConcept C68797384 @default.
- W2055395306 hasConceptScore W2055395306C114614502 @default.
- W2055395306 hasConceptScore W2055395306C136170076 @default.
- W2055395306 hasConceptScore W2055395306C183877218 @default.
- W2055395306 hasConceptScore W2055395306C187915474 @default.
- W2055395306 hasConceptScore W2055395306C197893656 @default.
- W2055395306 hasConceptScore W2055395306C202444582 @default.
- W2055395306 hasConceptScore W2055395306C33923547 @default.
- W2055395306 hasConceptScore W2055395306C5106717 @default.
- W2055395306 hasConceptScore W2055395306C51568863 @default.
- W2055395306 hasConceptScore W2055395306C68797384 @default.
- W2055395306 hasLocation W20553953061 @default.
- W2055395306 hasOpenAccess W2055395306 @default.
- W2055395306 hasPrimaryLocation W20553953061 @default.
- W2055395306 hasRelatedWork W1758104378 @default.
- W2055395306 hasRelatedWork W1970071301 @default.
- W2055395306 hasRelatedWork W1993905676 @default.
- W2055395306 hasRelatedWork W1995113166 @default.
- W2055395306 hasRelatedWork W2049565117 @default.
- W2055395306 hasRelatedWork W2056145504 @default.
- W2055395306 hasRelatedWork W2086835181 @default.
- W2055395306 hasRelatedWork W2109926300 @default.
- W2055395306 hasRelatedWork W2120471096 @default.
- W2055395306 hasRelatedWork W2144077305 @default.
- W2055395306 hasRelatedWork W2322345751 @default.
- W2055395306 hasRelatedWork W2572208251 @default.
- W2055395306 hasRelatedWork W2914287831 @default.
- W2055395306 hasRelatedWork W2948324310 @default.
- W2055395306 hasRelatedWork W2949558511 @default.
- W2055395306 hasRelatedWork W2950090378 @default.
- W2055395306 hasRelatedWork W2964180807 @default.
- W2055395306 hasRelatedWork W2991004444 @default.
- W2055395306 hasRelatedWork W3022476541 @default.
- W2055395306 hasRelatedWork W3081322638 @default.
- W2055395306 isParatext "false" @default.
- W2055395306 isRetracted "false" @default.
- W2055395306 magId "2055395306" @default.
- W2055395306 workType "article" @default.