Zassenhaus Lie Idempotents, q-Bracketing and a New Exponential/Logarithm Correspondence

G. Duchamp; D. Krob; E. A. Vassilieva

doi:10.1023/A:1011263924121

Zassenhaus Lie Idempotents, q-Bracketing and a New Exponential/Logarithm Correspondence

G. Duchamp
, D. Krob
, E. A. Vassilieva

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce a new q-exponential/logarithm correspondance that allows us to solve a conjecture relating Zassenhauss Lie idempotents with other Lie idempotents related to the q-bracketing operator.

Original language	English
Pages (from-to)	251-277
Number of pages	27
Journal	Journal of Algebraic Combinatorics
Volume	12
Issue number	3
DOIs	https://doi.org/10.1023/A:1011263924121
Publication status	Published - 1 Jan 2000
Externally published	Yes

Keywords

Exponential
Fer-Zassenhauss formula
Lie idempotents
Logarithm
Noncommutative symmetric functions

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title = "Zassenhaus Lie Idempotents, q-Bracketing and a New Exponential/Logarithm Correspondence",

abstract = "We introduce a new q-exponential/logarithm correspondance that allows us to solve a conjecture relating Zassenhauss Lie idempotents with other Lie idempotents related to the q-bracketing operator.",

keywords = "Exponential, Fer-Zassenhauss formula, Lie idempotents, Logarithm, Noncommutative symmetric functions",

author = "G. Duchamp and D. Krob and Vassilieva, \{E. A.\}",

year = "2000",

month = jan,

day = "1",

doi = "10.1023/A:1011263924121",

language = "English",

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journal = "Journal of Algebraic Combinatorics",

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T1 - Zassenhaus Lie Idempotents, q-Bracketing and a New Exponential/Logarithm Correspondence

AU - Duchamp, G.

AU - Krob, D.

AU - Vassilieva, E. A.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - We introduce a new q-exponential/logarithm correspondance that allows us to solve a conjecture relating Zassenhauss Lie idempotents with other Lie idempotents related to the q-bracketing operator.

AB - We introduce a new q-exponential/logarithm correspondance that allows us to solve a conjecture relating Zassenhauss Lie idempotents with other Lie idempotents related to the q-bracketing operator.

KW - Exponential

KW - Fer-Zassenhauss formula

KW - Lie idempotents

KW - Logarithm

KW - Noncommutative symmetric functions

U2 - 10.1023/A:1011263924121

DO - 10.1023/A:1011263924121

M3 - Article

AN - SCOPUS:0012351263

SN - 0925-9899

VL - 12

SP - 251

EP - 277

JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

IS - 3

ER -

Zassenhaus Lie Idempotents, q-Bracketing and a New Exponential/Logarithm Correspondence

Abstract

Keywords

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