Results 51 to 60 of about 1,338,709 (133)

Affine Standard Lyndon Words: A-Type

open access: yesInternational Mathematics Research Notices
Abstract We generalize an algorithm of Leclerc [ 6] describing explicitly the bijection of Lalonde–Ram [ 5] from finite to affine Lie algebras. In type $A_{n}^{(1)}$, we compute all affine standard Lyndon words for any order of the simple roots and establish some properties of the induced orders on the positive affine roots.
Avdieiev, Yehor, Tsymbaliuk, Alexander
openaire   +2 more sources

Infinite smooth Lyndon words

open access: yes, 2008
In a recent paper, Brlek, Jamet and Paquin showed that some extremal infinite smooth words are also infinite Lyndon words. This result raises a natural question: are they the only ones? If no, what do the infinite smooth words that are also Lyndon words look like? In this paper, we give the answer, proving that the only infinite smooth Lyndon words are
openaire   +3 more sources

The Leibniz-Hopf algebra and Lyndon words [PDF]

open access: yes, 1996
Let ${cal Z$ denote the free associative algebra ${ol Z langle Z_1 , Z_2 , ldots rangle$ over the integers. This algebra carries a Hopf algebra structure for which the comultiplication is $Z_n mapsto Sigma_{i+j=n Z_i otimes Z_j$.
Hazewinkel, M. (Michiel)   +1 more
core   +2 more sources

Lyndon Factorization of Infinite Words

open access: yes, 2007
Infinite Lyndon words have been introduced in [1], where the authors proved a factorization theorem for infinite words: any infinite word can be written as a non increasing product of Lyndon words, finite and/or infinite.
Guy Melançon
core  

A Lie Bracket for the Momentum Kernel. [PDF]

open access: yesCommun Math Phys, 2023
Frost H, Mafra CR, Mason L.
europepmc   +1 more source

Pattern Hopf Algebras. [PDF]

open access: yesAnn Comb, 2022
Penaguiao R.
europepmc   +1 more source

Positioning of psychodynamic psychotherapy in the treatment of depression: A comparison of the RANZCP 2020 and NICE 2022 guidelines. [PDF]

open access: yesAustralas Psychiatry, 2023
Malhi GS   +9 more
europepmc   +1 more source

Some Variations on Lyndon Words (Invited Talk)

open access: yes, 2019
In this paper we compare two finite words u and v by the lexicographical order of the infinite words u^omega and v^omega. Informally, we say that we compare u and v by the infinite order.
Reutenauer, Christophe   +2 more
core   +1 more source

[News Clip: Lyndon]

open access: yes, 1959
Video footage from the WBAP-TV television station in Fort Worth, Texas, to accompany a news story about an appreciation dinner for Senator Lyndon B ...
WBAP-TV (Television station : Fort Worth, Tex.)
core   +1 more source

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