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Steinberg, Robert

On the desingularization of the unipotent variety. (English) Zbl 0352.20035

Invent. Math. 36, 209-224 (1976).
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Cited in 7 Reviews
Cited in 87 Documents

MSC:

20G15 Linear algebraic groups over arbitrary fields
14M15 Grassmannians, Schubert varieties, flag manifolds
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\textit{R. Steinberg}, Invent. Math. 36, 209--224 (1976; Zbl 0352.20035)
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References:

[1] Bala, P., Carter, R. W.: Classes of unipotent elements of simple algebraic groups. To appear. · Zbl 0364.22006
[2] Benard, M.: On the Schur indices of characters of the exceptional Weyl groups. Ann. of Math.94, 89-107 (1971) · Zbl 0216.09202
[3] Borel, A.: Linear algebraic groups, New York: Benjamin 1969 · Zbl 0206.49801
[4] Borel, A., Tits, J.: Groupes réductifs. Publ. Math. I.H.E.S.27, 55-150 (1965) · Zbl 0145.17402
[5] Brieskorn, E.: Singular elements of semi-simple algebraic groups. Proc. Int. Congress Math., Nice (1970) · Zbl 0223.22012
[6] Dynkin, E. B.: Semisimple subalgebras of semisimple Lie algebras, Amer. Math. Soc. Translations6 (2), 111-244 (1957) · Zbl 0077.03404
[7] Elkington, G. B.: Centralizers of unipotent elements in semisimple algebraic groups. J. Algebra23, 137-163, (1972) · Zbl 0247.20053
[8] Frobenius, G., Schur, I.: Über die reellen Darstellungen der endlichen Gruppen. Sitzgsber. preuss. Akad. Wiss. 186-208 (1906) · JFM 37.0161.01
[9] Konstant, B.: The principal three-dimensional. Amer. J. Math.81, 973-1032 (1959) · Zbl 0099.25603
[10] Richardson, R. W.: Conjugacy classes in Lie algebras and algebraic groups Ann. of Math.86, 1-15 (1967) · Zbl 0153.04501
[11] Richardson, R. W.: Conjugacy classes in parabolic subgroups of semisimple algebraic groups. Bull. London Math. Soc.6, 21-24 (1974) · Zbl 0287.20036
[12] Robinson, G. de B.: Representation theory of the symmetric group. University of Toronto Press 1961 · Zbl 0102.02002
[13] Springer, T. A.: The unipotent variety of a semisimple group. Proc. Colloq. Alg. Geom. Tata Institute 373-391 (1969) · Zbl 0195.50803
[14] Springer, T. A.: Trigonometric sums. Green functions on finite groups and representations of Weyl groups. To appear · Zbl 0374.20054
[15] Springer, T. A., Steinberg, R.: Conjugacy classes. Lecture Notes in Math. 131 part E. Berlin-Heidelberg-New York: Springer 1970 · Zbl 0249.20024
[16] Steinberg, R.: Regular elements of semisimple algebraic groups. Publ. Math. I.H.E.S.25, 49-80 (1965) · Zbl 0136.30002
[17] Steinberg, R.: Conjugacy classes in algebraic groups. Lecture Notes in Math. 366. Berlin-Heidelberg-New York: Springer 1974 · Zbl 0281.20037
[18] Vargas, J.: Fixed points under the action of unipotent elements. Ph. D. thesis, U.C.L.A. (1976)
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