Xarish-Chandra gomomorfizmi - Harish-Chandra homomorphism - Wikipedia

Buni chalkashtirib yubormaslik kerak Xarish-Chandra izomorfizmi.

Matematik vakillik nazariyasida a Xarish-Chandra gomomorfizmi ning subalgebrasidan olingan homomorfizmdir universal qoplovchi algebra yarim semple Lie algebrasining subalgebra universal qamrab oluvchi algebrasiga. Ayniqsa, muhim bo'lgan maxsus holat Xarish-Chandra izomorfizmi Cartan subalgebraidagi o'zgarmas polinomlar bilan universal o'ralgan algebra markazini aniqlash.

Taqdirda K- maksimal ixcham kichik guruh uchun universal konvertatsiya qiluvchi algebraning o'zgarmas elementlari K, Xarish-Chandra gomomorfizmi tomonidan o'rganilgan Xarish-Chandra  (1958 ).

Adabiyotlar

  • Xarish-Chandra (1958), "Sferik funktsiyalar yarim yarim oddiy yolg'on guruhida. Men", Amerika matematika jurnali, 80: 241–310, doi:10.2307/2372786, ISSN  0002-9327, JSTOR  2372786, JANOB  0094407
  • Xou, Rojer E. (2000), "Xarish-Chandra homomorfizmlari", Doran, Robert S.; Varadarajan., V. S. (tahr.), Xarish-Chandraning matematik merosi (Baltimor, MD, 1998), Proc. Simpozlar. Sof matematik., 68, Providence, R.I .: Amerika matematik jamiyati, 321-332 betlar, ISBN  978-0-8218-1197-9, JANOB  1767901