Palindromes in the free metabelian Lie algebras
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, cilt.29, sa.5, ss.885-891, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 29 Sayı: 5
- Basım Tarihi: 2019
- Doi Numarası: 10.1142/s0218196719500334
- Dergi Adı: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.885-891
- Çukurova Üniversitesi Adresli: Evet
Özet
A palindrome, in general, is a word in a fixed alphabet which is preserved when taken in reverse order. Let F-2 be the free metabelian Lie algebra over a field of characteristic zero generated by x(1), x(2). We propose the following definition of palindromes in the setting of Lie algebras: An element f(x(1), x(2)) is an element of F-2 is called a palindrome if it is preserved under the change of generators; i.e. f(x(1), x(2)) = f(x(2), x(1)). We give a linear basis and an explicit infinite generating set for the Lie subalgebra of palindromes.