Abstract
Product of two orbits of the Weyl reflection group W(A2) are decomposed into the union of the orbits.
Mathematics Subject Classification (2010). 20F55, 20H15.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M.R. Bremner, R.V. Moody, J. Patera, Tables of dominant weight multiplicities for representations of simple Lie algebras, Marcel Dekker, New York 1985, 340pages, ISBN: 0-8247-7270-9
R. Twarock, New group structure for carbon onions and nanotubes via affine extension of noncrystallographic Coxeter groups, Phys. Lett. A 300 (2002) 437–444
R.V. Moody, J. Patera, General charge conjugation operators in simple Lie groups, J. Math. Phys., 25 (1984) 2838–2847
J.E. Humphreys, Reflection groups and Coxeter groups, Cambridge University Press, 1990.
R. Kane, Reflection Groups and Invariants, New York: Springer, 2002
A Klimyk, J. Patera, Orbit functions, Symmetry, Integrability and Geometry: Methods and Applications, 2 (2006) 006, 60pp.
L. H´akov´a, M. Larouche, J. Patera, The rings of n-dimensional polytopes, J. Phys. A: Math. Theor., 41 (2008) 495202; arXiv:0901.4686.
A. Tereszkiewicz, Complete Decompositions of Weyl group orbit products of W(A2), W(C2), W(G2) and Coxeter group H2 – in preparation
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Basel
About this paper
Cite this paper
Tereszkiewicz, A. (2013). Decomposition of Weyl Group Orbit Products of W(A2). In: Kielanowski, P., Ali, S., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0645-9_14
Download citation
DOI: https://doi.org/10.1007/978-3-0348-0645-9_14
Published:
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0644-2
Online ISBN: 978-3-0348-0645-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)