File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1016/j.jalgebra.2013.01.009
- Scopus: eid_2-s2.0-84873619328
- WOS: WOS:000319169800020
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Spin representations of real reflection groups of noncrystallographic root systems
Title | Spin representations of real reflection groups of noncrystallographic root systems |
---|---|
Authors | |
Keywords | Noncrystallographic root systems Real reflection groups Solvable nilpotent orbits Spin representations |
Issue Date | 2013 |
Citation | Journal of Algebra, 2013, v. 379, p. 333-354 How to Cite? |
Abstract | A uniform parametrization for the irreducible spin representations of Weyl groups in terms of nilpotent orbits is recently achieved by Ciubotaru (2011). This paper is a generalization of this result to other real reflection groups.Let (V0,R,V0∨,R∨) be a root system with the real reflection group W. We define a special subset of points in V0∨ which will be called solvable points. Those solvable points, in the case R crystallographic, correspond to the nilpotent orbits whose elements have a solvable centralizer in the corresponding Lie algebra. Then a connection between the irreducible spin representations of W and those solvable points in V0∨ is established. © 2013 Elsevier Inc. |
Persistent Identifier | http://hdl.handle.net/10722/326925 |
ISSN | 2023 Impact Factor: 0.8 2023 SCImago Journal Rankings: 1.023 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chan, Kei Yuen | - |
dc.date.accessioned | 2023-03-31T05:27:32Z | - |
dc.date.available | 2023-03-31T05:27:32Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Journal of Algebra, 2013, v. 379, p. 333-354 | - |
dc.identifier.issn | 0021-8693 | - |
dc.identifier.uri | http://hdl.handle.net/10722/326925 | - |
dc.description.abstract | A uniform parametrization for the irreducible spin representations of Weyl groups in terms of nilpotent orbits is recently achieved by Ciubotaru (2011). This paper is a generalization of this result to other real reflection groups.Let (V0,R,V0∨,R∨) be a root system with the real reflection group W. We define a special subset of points in V0∨ which will be called solvable points. Those solvable points, in the case R crystallographic, correspond to the nilpotent orbits whose elements have a solvable centralizer in the corresponding Lie algebra. Then a connection between the irreducible spin representations of W and those solvable points in V0∨ is established. © 2013 Elsevier Inc. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of Algebra | - |
dc.subject | Noncrystallographic root systems | - |
dc.subject | Real reflection groups | - |
dc.subject | Solvable nilpotent orbits | - |
dc.subject | Spin representations | - |
dc.title | Spin representations of real reflection groups of noncrystallographic root systems | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.jalgebra.2013.01.009 | - |
dc.identifier.scopus | eid_2-s2.0-84873619328 | - |
dc.identifier.volume | 379 | - |
dc.identifier.spage | 333 | - |
dc.identifier.epage | 354 | - |
dc.identifier.eissn | 1090-266X | - |
dc.identifier.isi | WOS:000319169800020 | - |