One-parameter subgroups and the B-C-H formula

• Autorzy: Wojciech Wojtyński
• Języki publikacji: EN

Abstrakty

EN

An algebraic scheme for Lie theory of topological groups with "large" families of one-parameter subgroups is proposed. Such groups are quotients of "𝔼ℝ-groups", i.e. topological groups equipped additionally with the continuous exterior binary operation of multiplication by real numbers, and generated by special ("exponential") elements. It is proved that under natural conditions on the topology of an 𝔼ℝ-group its group multiplication is described by the B-C-H formula in terms of the associated Lie algebra.

Kategorie tematyczne

• 17B65: Infinite-dimensional Lie (super)algebras
• 22E65: Infinite-dimensional Lie groups and their Lie algebras: general properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1994
• Tom: 111
• Numer: 2
• Strony: 163-185

Daty

wydano

1994

otrzymano

1993-04-04

poprawiono

1993-12-14

Twórcy

autor

Wojciech Wojtyński

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

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