Yolg'on guruhlari nazariyasi - Theory of Lie groups - Wikipedia

Matematikada, Yolg'on guruhlari nazariyasi haqida bir qator kitoblar Yolg'on guruhlar tomonidan Klod Chevalley  (1946, 1951, 1955 ). Ushbu ketma-ket birinchisi, Lie guruhlariga global nuqtai nazardan qarash uchun eng qadimgi kitoblardan biri bo'lib, ko'p yillar davomida Lie guruhlari haqidagi standart matn edi. Ikkinchi va uchinchi jildlar, kuni algebraik guruhlar va Yolg'on algebralar, frantsuz tilida yozilgan va keyinchalik bitta jild sifatida qayta nashr etilgan. Aftidan keyingi jildlari rejalashtirilgan, ammo nashr etilmagan, ammo uning ma'ruzalari (Chevalley 2005 yil ) ning tasnifi to'g'risida yarim yarim algebraik guruhlar serialning davomi deb hisoblash mumkin edi.

Adabiyotlar

• Chevalley, Klod (1946), Yolg'on guruhlari nazariyasi. Men, Prinston matematik seriyasi, 8, Prinston universiteti matbuoti, ISBN  978-0-691-04990-8, JANOB  0015396
• Chevalley, Klod (1951), Théorie des groupes de Lie. Tom II. Algébriques guruhlari, Actualités Sci. Ind., 1152, Hermann & Cie., Parij, JANOB  0051242
• Chevalley, Klod (1955), Théorie des groupes de Lie. Tom III. Théorèmes généraux sur les algèbres de Lie, Actualités Sci. Ind., 1226, Hermann & Cie, Parij, JANOB  0068552
• Chevalley, Klod (1968), Théorie des groupes de Lie: Algébriques guruhlari, théorèmes généraux sur les algèbres de Lie (frantsuz tilida), 8, Parij: Hermann, II va III jildlarning qayta nashr etilishi bitta jildga bog'langan
• Chevalley, Klod (2005) [1958], Kartier, P. (tahr.), Classification des groupes algébriques yarim sodda, To'plangan asarlar., 3, Berlin, Nyu-York: Springer-Verlag, ISBN  978-3-540-23031-1, JANOB  0106966
• Smit, P. A. (1947), "Obzor: Klod Chevalley, Yolg'on guruhlari nazariyasi, men", Buqa. Amer. Matematika. Soc., 53 (9): 884–887, doi:10.1090 / s0002-9904-1947-08876-5