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Homotopies of Crossed Modules of Lie Algebras

Yıl 2018, Cilt: 6 Sayı: 2, 259 - 263, 15.10.2018

İbrahim İlker Akça , Yavuz Sidal

Öz

In this paper we will define a notion of homotopy of Lie crossed module morphisms. Then we construct a groupoid structure of Lie crossed module morphisms and their homotopies.



Anahtar Kelimeler

Homotopy crossed module Lie algebra

Kaynakça

  • [1] AKCA, I.I. - EMIR, K. - MARTINS, J.F. Pointed Homotopy of Between 2-Crossed Modules of Commutative Algebras, Homology, Homotopy and Applications vol.17(2) pages 1-30, (2015).
  • [2] BROWN, R. AND HIGGINS P. J., Tensor Products and Homotopies for w􀀀groupoids and crossed complexes, Journal of Pure and Applied Algebra 47, (1987), 1-33.
  • [3] CABELLO, J.G. AND GARZON A.R. Closed model structures for algebraic models of n-types, Journal of Pure and Applied Algebra 103 (3), (1995), 287–302.
  • [4] DWYER, W.G. - SPALINSKI, J. Homotopy theories and model categories, In Handbook of algebraic topology, pages 73-126. Amsterdam: Nort Holland, (1995)
  • [5] GOHLA, B. - MARTINS, J.F. Pointed Homotopy and Pointed Lax Homotopy of 2-Crossed Module Maps, Adv. Math. 248: pages 986-1049, (2013).
  • [6] KASEL, C. and LODAY, J.L. Extensions centrales d’algebres de Lie. Ann. Inst. Fourier (Grenoble), 33, (1982) 119-142.
  • [7] NOOHI, B. Notes on 2-groupoids, 2-groups and crossed modules, Homology Homotopy Appl. 9 (1), (2007), 75-106.
  • [8] WHITEHEAD, J.H.C. Combinatorial Homotopy I and II, Bull. Amer. Math. Soc., 55, 231-245 and 453-456 (1949).

Yıl 2018, Cilt: 6 Sayı: 2, 259 - 263, 15.10.2018

İbrahim İlker Akça , Yavuz Sidal

Öz

Kaynakça

  • [1] AKCA, I.I. - EMIR, K. - MARTINS, J.F. Pointed Homotopy of Between 2-Crossed Modules of Commutative Algebras, Homology, Homotopy and Applications vol.17(2) pages 1-30, (2015).
  • [2] BROWN, R. AND HIGGINS P. J., Tensor Products and Homotopies for w􀀀groupoids and crossed complexes, Journal of Pure and Applied Algebra 47, (1987), 1-33.
  • [3] CABELLO, J.G. AND GARZON A.R. Closed model structures for algebraic models of n-types, Journal of Pure and Applied Algebra 103 (3), (1995), 287–302.
  • [4] DWYER, W.G. - SPALINSKI, J. Homotopy theories and model categories, In Handbook of algebraic topology, pages 73-126. Amsterdam: Nort Holland, (1995)
  • [5] GOHLA, B. - MARTINS, J.F. Pointed Homotopy and Pointed Lax Homotopy of 2-Crossed Module Maps, Adv. Math. 248: pages 986-1049, (2013).
  • [6] KASEL, C. and LODAY, J.L. Extensions centrales d’algebres de Lie. Ann. Inst. Fourier (Grenoble), 33, (1982) 119-142.
  • [7] NOOHI, B. Notes on 2-groupoids, 2-groups and crossed modules, Homology Homotopy Appl. 9 (1), (2007), 75-106.
  • [8] WHITEHEAD, J.H.C. Combinatorial Homotopy I and II, Bull. Amer. Math. Soc., 55, 231-245 and 453-456 (1949).
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

İbrahim İlker Akça

Yavuz Sidal

Yayımlanma Tarihi 15 Ekim 2018
Gönderilme Tarihi 14 Şubat 2018
Kabul Tarihi 3 Ekim 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 6 Sayı: 2

Kaynak Göster

APA Akça, İ. İ., & Sidal, Y. (2018). Homotopies of Crossed Modules of Lie Algebras. Konuralp Journal of Mathematics, 6(2), 259-263.
AMA Akça İİ, Sidal Y. Homotopies of Crossed Modules of Lie Algebras. Konuralp J. Math. Ekim 2018;6(2):259-263.
Chicago Akça, İbrahim İlker, ve Yavuz Sidal. “Homotopies of Crossed Modules of Lie Algebras”. Konuralp Journal of Mathematics 6, sy. 2 (Ekim 2018): 259-63.
EndNote Akça İİ, Sidal Y (01 Ekim 2018) Homotopies of Crossed Modules of Lie Algebras. Konuralp Journal of Mathematics 6 2 259–263.
IEEE İ. İ. Akça ve Y. Sidal, “Homotopies of Crossed Modules of Lie Algebras”, Konuralp J. Math., c. 6, sy. 2, ss. 259–263, 2018.
ISNAD Akça, İbrahim İlker - Sidal, Yavuz. “Homotopies of Crossed Modules of Lie Algebras”. Konuralp Journal of Mathematics 6/2 (Ekim 2018), 259-263.
JAMA Akça İİ, Sidal Y. Homotopies of Crossed Modules of Lie Algebras. Konuralp J. Math. 2018;6:259–263.
MLA Akça, İbrahim İlker ve Yavuz Sidal. “Homotopies of Crossed Modules of Lie Algebras”. Konuralp Journal of Mathematics, c. 6, sy. 2, 2018, ss. 259-63.
Vancouver Akça İİ, Sidal Y. Homotopies of Crossed Modules of Lie Algebras. Konuralp J. Math. 2018;6(2):259-63.
 Kapak Resmi İndir
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