메뉴 건너뛰기




Volumn 221, Issue 4, 2009, Pages 1115-1121

On the Dynkin index of a principal sl2-subalgebra

Author keywords

Dynkin index; Freudenthal's strange formula; Simple Lie algebra

Indexed keywords


EID: 67349247855     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2009.01.015     Document Type: Article
Times cited : (11)

References (8)
  • 1
    • 67349213517 scopus 로고
    • (in Russian); English translation in: E.M. Andreev, E.B. Vinberg, A.G. Elashvili, Orbits of greatest dimension in semisimple linear Lie groups
    • A{cyrillic}n{cyrillic}d{cyrillic}r{cyrillic}ye{cyrillic}ye{cyrillic}v{cy rillic} Ye{cyrillic}.M{cyrillic}., V{cyrillic}i{cyrillic}n{cyrillic}b{cyrillic}ye{cyrillic}r{cyrillic}g{cyr illic} E{cyrillic}.B{cyrillic}., and E{cyrillic}l{cyrillic}a{cyrillic}sh{cyrillic}v{cyrillic}i{cyrillic}l{cyr illic}i{cyrillic} A{cyrillic}.G{cyrillic}. O{cyrillic}r{cyrillic}b{cyrillic}i{cyrillic}t{cyrillic}y{cyrillic} n{cyrillic}a{cyrillic}i{cyrillic}b{cyrillic}o{cyrillic}l{cyrillic}{cyril lic small soft sign}sh{cyrillic}ye{cyrillic}i{cyrillic, short} r{cyrillic}a{cyrillic}z{cyrillic}m{cyrillic}ye{cyrillic}r{cyrillic}n{cyr illic}o{cyrillic}s{cyrillic}t{cyrillic}i{cyrillic} p{cyrillic}o{cyrillic}l{cyrillic}u{cyrillic}p{cyrillic}r{cyrillic}o{cyri llic}s{cyrillic}t{cyrillic}y{cyrillic}kh{cyrillic} l{cyrillic}i{cyrillic}n{cyrillic}ye{cyrillic}i{cyrillic, short}n{cyrillic}y{cyrillic}kh{cyrillic} g{cyrillic}r{cyrillic}u{cyrillic}p{cyrillic}p{cyrillic} L{cyrillic}i{cyrillic}. F{cyrillic}u{cyrillic}n{cyrillic}k{cyrillic}ts{cyrillic}. A{cyrillic}n{cyrillic}a{cyrillic}l{cyrillic}i{cyrillic}z{cyrillic} i{cyrillic} ye{cyrillic}g{cyrillic}o{cyrillic} P{cyrillic}r{cyrillic}i{cyrillic}l{cyrillic}o{cyrillic}zh{cyrillic}ye{cy rillic}n{cyrillic}. 1 4 (1967) 3-7 (in Russian); English translation in: E.M. Andreev, E.B. Vinberg, A.G. Elashvili, Orbits of greatest dimension in semisimple linear Lie groups
    • (1967) , vol.1 , Issue.4 , pp. 3-7
    • Andryeyev, Ye.M.1    Vinbyerg, E.B.2    Elashvili, A.G.3
  • 2
    • 33646937695 scopus 로고
    • A{cyrillic}n{cyrillic}d{cyrillic}r{cyrillic}ye{cyrillic}ye{cyrillic}v{cy rillic} Ye{cyrillic}.M{cyrillic}., V{cyrillic}i{cyrillic}n{cyrillic}b{cyrillic}ye{cyrillic}r{cyrillic}g{cyr illic} E{cyrillic}.B{cyrillic}., and E{cyrillic}l{cyrillic}a{cyrillic}sh{cyrillic}v{cyrillic}i{cyrillic}l{cyr illic}i{cyrillic} A{cyrillic}.G{cyrillic}. O{cyrillic}r{cyrillic}b{cyrillic}i{cyrillic}t{cyrillic}y{cyrillic} n{cyrillic}a{cyrillic}i{cyrillic}b{cyrillic}o{cyrillic}l{cyrillic}{cyril lic small soft sign}sh{cyrillic}ye{cyrillic}i{cyrillic, short} r{cyrillic}a{cyrillic}z{cyrillic}m{cyrillic}ye{cyrillic}r{cyrillic}n{cyr illic}o{cyrillic}s{cyrillic}t{cyrillic}i{cyrillic} p{cyrillic}o{cyrillic}l{cyrillic}u{cyrillic}p{cyrillic}r{cyrillic}o{cyri llic}s{cyrillic}t{cyrillic}y{cyrillic}kh{cyrillic} l{cyrillic}i{cyrillic}n{cyrillic}ye{cyrillic}i{cyrillic, short}n{cyrillic}y{cyrillic}kh{cyrillic} g{cyrillic}r{cyrillic}u{cyrillic}p{cyrillic}p{cyrillic} L{cyrillic}i{cyrillic}. Funct. Anal. Appl. 1 (1967) 257-261
    • (1967) Funct. Anal. Appl. , vol.1 , pp. 257-261
    • Andryeyev, Ye.M.1    Vinbyerg, E.B.2    Elashvili, A.G.3
  • 3
    • 0000211148 scopus 로고
    • (in Russian); English translation in: E.B. Dynkin, Semisimple subalgebras of semisimple Lie algebras
    • D{cyrillic}y{cyrillic}n{cyrillic}k{cyrillic}i{cyrillic}n{cyrillic} Ye{cyrillic}.B{cyrillic}. P{cyrillic}o{cyrillic}l{cyrillic}u{cyrillic}p{cyrillic}r{cyrillic}o{cyri llic}s{cyrillic}t{cyrillic}y{cyrillic}ye{cyrillic} p{cyrillic}o{cyrillic}d{cyrillic}a{cyrillic}l{cyrillic}g{cyrillic}ye{cyr illic}b{cyrillic}r{cyrillic}y{cyrillic} p{cyrillic}o{cyrillic}l{cyrillic}u{cyrillic}p{cyrillic}r{cyrillic}o{cyri llic}s{cyrillic}t{cyrillic}y{cyrillic}kh{cyrillic} a{cyrillic}l{cyrillic}g{cyrillic}ye{cyrillic}b{cyrillic}r{cyrillic} L{cyrillic}i{cyrillic}. M{cyrillic}a{cyrillic}t{cyrillic}ye{cyrillic}m{cyrillic}. S{cyrillic}b{cyrillic}o{cyrillic}r{cyrillic}n{cyrillic}i{cyrillic}k{cyri llic} 30 2 (1952) 349-462 (in Russian); English translation in: E.B. Dynkin, Semisimple subalgebras of semisimple Lie algebras
    • (1952) , vol.30 , Issue.2 , pp. 349-462
    • Dynkin, Ye.B.1
  • 4
    • 0000176592 scopus 로고
    • D{cyrillic}y{cyrillic}n{cyrillic}k{cyrillic}i{cyrillic}n{cyrillic} Ye{cyrillic}.B{cyrillic}. P{cyrillic}o{cyrillic}l{cyrillic}u{cyrillic}p{cyrillic}r{cyrillic}o{cyri llic}s{cyrillic}t{cyrillic}y{cyrillic}ye{cyrillic} p{cyrillic}o{cyrillic}d{cyrillic}a{cyrillic}l{cyrillic}g{cyrillic}ye{cyr illic}b{cyrillic}r{cyrillic}y{cyrillic} p{cyrillic}o{cyrillic}l{cyrillic}u{cyrillic}p{cyrillic}r{cyrillic}o{cyri llic}s{cyrillic}t{cyrillic}y{cyrillic}kh{cyrillic} a{cyrillic}l{cyrillic}g{cyrillic}ye{cyrillic}b{cyrillic}r{cyrillic} L{cyrillic}i{cyrillic}. Amer. Math. Soc. Transl. Ser. 2 6 (1957) 111-244
    • (1957) Amer. Math. Soc. Transl. Ser. 2 , vol.6 , pp. 111-244
    • Dynkin, Ye.B.1
  • 6
    • 0001318371 scopus 로고
    • The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group polynomial rings
    • Kostant B. The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group polynomial rings. Amer. J. Math. 81 (1959) 973-1032
    • (1959) Amer. J. Math. , vol.81 , pp. 973-1032
    • Kostant, B.1
  • 8
    • 3042717652 scopus 로고    scopus 로고
    • Isotropy representations, eigenvalues of a Casimir element, and commutative Lie subalgebras
    • Panyushev D. Isotropy representations, eigenvalues of a Casimir element, and commutative Lie subalgebras. J. London Math. Soc. (2) 64 (2001) 61-80
    • (2001) J. London Math. Soc. (2) , vol.64 , pp. 61-80
    • Panyushev, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.