Character formulae for classical groups
Open Mathematics (2006)
- Volume: 4, Issue: 2, page 242-249
- ISSN: 2391-5455
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topPéter Frenkel. "Character formulae for classical groups." Open Mathematics 4.2 (2006): 242-249. <http://eudml.org/doc/269435>.
@article{PéterFrenkel2006,
abstract = {We give formulae relating the value Xλ (g) of an irreducible character of a classical group G to entries of powers of the matrix g ε G. This yields a far-reaching generalization of a result of J.L. Cisneros-Molina concerning the GL 2 case [1].},
author = {Péter Frenkel},
journal = {Open Mathematics},
keywords = {20G05},
language = {eng},
number = {2},
pages = {242-249},
title = {Character formulae for classical groups},
url = {http://eudml.org/doc/269435},
volume = {4},
year = {2006},
}
TY - JOUR
AU - Péter Frenkel
TI - Character formulae for classical groups
JO - Open Mathematics
PY - 2006
VL - 4
IS - 2
SP - 242
EP - 249
AB - We give formulae relating the value Xλ (g) of an irreducible character of a classical group G to entries of powers of the matrix g ε G. This yields a far-reaching generalization of a result of J.L. Cisneros-Molina concerning the GL 2 case [1].
LA - eng
KW - 20G05
UR - http://eudml.org/doc/269435
ER -
References
top- [1] J. L. Cisneros-Molina: “An invariant of 2 × 2 matrices”, Electr. J. Linear Algebra, Vol. 13, (2005), pp. 146–152. Zbl1104.15023
- [2] W. Fulton and J. Harris: Representation theory, GTM, Springer, New York, 1991.
- [3] R. Goodman and N.R. Wallach: Representations and invariants of the classical groups, Cambridge University Press, Cambridge, 1998. Zbl0901.22001
- [4] H. Weyl: “Theorie der Darstellung kontinuerlicher halbeinfacher Gruppen durch lineare Transformationen, I, II, III, und Nachtrag”, Math. Zeitschrift, Vol. 23, (1925), pp. 271–309; Vol. 24, (1925), pp. 328–376, 377–395, 789–791; reprinted in Selecta Hermann Weyl, Birkhäuser, Basel, 1956, pp. 262–366 http://dx.doi.org/10.1007/BF01506234
- [5] H. Weyl: The classical groups, Their invariants and representations, Princeton University Press, Princeton, 1946.
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