The representation-ring of a compact Lie group

Graeme Segal

Publications Mathématiques de l'IHÉS (1968)

  • Volume: 34, page 113-128
  • ISSN: 0073-8301

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Segal, Graeme. "The representation-ring of a compact Lie group." Publications Mathématiques de l'IHÉS 34 (1968): 113-128. <http://eudml.org/doc/103879>.

@article{Segal1968,
author = {Segal, Graeme},
journal = {Publications Mathématiques de l'IHÉS},
language = {eng},
pages = {113-128},
publisher = {Institut des Hautes Études Scientifiques},
title = {The representation-ring of a compact Lie group},
url = {http://eudml.org/doc/103879},
volume = {34},
year = {1968},
}

TY - JOUR
AU - Segal, Graeme
TI - The representation-ring of a compact Lie group
JO - Publications Mathématiques de l'IHÉS
PY - 1968
PB - Institut des Hautes Études Scientifiques
VL - 34
SP - 113
EP - 128
LA - eng
UR - http://eudml.org/doc/103879
ER -

References

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  1. [1] M. F. ATIYAH, Characters and cohomology of finite groups, Publ. Math. Inst. des Hautes Études Sci. (Paris), 9 (1961), 23-64. Zbl0107.02303MR26 #6228
  2. [2] M. F. ATIYAH and R. BOTT, Notes on the Lefschetz fixed-point theorem for elliptic complexes, mimeographed, Harvard, 1964. Zbl0161.43101
  3. [3] M. F. ATIYAH, R. BOTT and A. SHAPIRO, Clifford modules, Topology, 3 (Suppl. 1) (1964), 3-38. Zbl0146.19001MR29 #5250
  4. [4] M. F. ATIYAH and F. HIRZEBRUCH, Vector bundles and homogeneous spaces, Differential geometry, Proc. of Symp. in Pure Math., 3 (1961), Amer. Math. Soc., 7-38. Zbl0108.17705MR25 #2617
  5. [5] R. BOTT, Homogeneous vector bundles, Ann. of Math., 66 (1957), 203-248. Zbl0094.35701MR19,681d
  6. [6] R. BOTT, The index theorem for homogeneous differential operators, in S. S. CAIRNS (éd.), Differential and combinatorial topology, a symposium in honor of Marston Morse, Princeton, 1965. Zbl0173.26001MR31 #6246
  7. [7] N. BOURBAKI, Algèbre commutative, chap. 5-6, Paris, Hermann, 1964. 
  8. [8] R. BRAUER and J. TATE, On the characters of finite groups, Ann. of Math., 62 (1955), 1-7. Zbl0065.01401MR16,1087c
  9. [9] C. CHEVALLEY, Theory of Lie groups, Princeton, 1946. Zbl0063.00842
  10. [10] Séminaire C. Chevalley I, Classification des groupes de Lie algébriques, Paris, 1956-1958. Zbl0092.26301
  11. [11] A. GROTHENDIECK, Éléments de géométrie algébrique, Publ. Math. Inst. des Hautes études Sci. (Paris), 4 (1960). Zbl0118.36206
  12. [12] G. D. MOSTOW, Cohomology of topological groups and solvmanifolds, Ann. of Math., 73 (1961), 20-48. Zbl0103.26501MR23 #A2484
  13. [13] Séminaire Sophus Lie, I, Paris, 1954-1955. 
  14. [14] P. ROQUETTE, Arithmetische Untersuchung des Charakterringes einer endlichen Gruppe, Crelle's J., 190 (1952), 148-168. Zbl0048.01902MR14,844b
  15. [15] J. de SIEBENTHAL, Sur les groupes de Lie compacts non connexes, Comm. Math. Helv., 31 (1956), 41-89. Zbl0075.01602MR20 #926

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