Skip to main content

Decomposition of Weyl Group Orbit Products of W(A2)

  • Conference paper
  • First Online:
Geometric Methods in Physics

Part of the book series: Trends in Mathematics ((TM))

  • 892 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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

    Google Scholar 

  2. R. Twarock, New group structure for carbon onions and nanotubes via affine extension of noncrystallographic Coxeter groups, Phys. Lett. A 300 (2002) 437–444

    Article  MathSciNet  Google Scholar 

  3. R.V. Moody, J. Patera, General charge conjugation operators in simple Lie groups, J. Math. Phys., 25 (1984) 2838–2847

    Article  MathSciNet  MATH  Google Scholar 

  4. J.E. Humphreys, Reflection groups and Coxeter groups, Cambridge University Press, 1990.

    Google Scholar 

  5. R. Kane, Reflection Groups and Invariants, New York: Springer, 2002

    Google Scholar 

  6. A Klimyk, J. Patera, Orbit functions, Symmetry, Integrability and Geometry: Methods and Applications, 2 (2006) 006, 60pp.

    Google Scholar 

  7. 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.

    Google Scholar 

  8. A. Tereszkiewicz, Complete Decompositions of Weyl group orbit products of W(A2), W(C2), W(G2) and Coxeter group H2 – in preparation

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Agnieszka Tereszkiewicz .

Editor information

Editors and Affiliations

Rights and permissions

Reprints 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

Publish with us

Policies and ethics