Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Samuel Chamberlin"'
Autor:
Samuel Chamberlin, Angelo Bianchi
Publikováno v:
Communications in Algebra. 50:2312-2335
We construct an integral form for the universal enveloping algebra of the Onsager algebra and an explicit integral basis for this integral form. We also formulate straightening identities among some products of basis elements.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b40721d3e6e20458184025653f6b8051
https://doi.org/10.1080/00927872.2021.2006207
https://doi.org/10.1080/00927872.2021.2006207
Autor:
Angelo Bianchi, Samuel Chamberlin
Publikováno v:
Algebras and Representation Theory. 24:453-472
We investigate the categories of finite-dimensional representations of multicurrent and multiloop hyperalgebras in positive characteristic, i.e., the hyperalgebras associated to the multicurrent algebras $\mathfrak g\otimes\mathbb{C}[t_1,\ldots,t_n]$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d266325b415efda54340065e93d4e6cd
https://doi.org/10.1007/s10468-020-09955-z
https://doi.org/10.1007/s10468-020-09955-z
Autor:
Samuel Chamberlin, Azadeh Rafizadeh
Publikováno v:
Rocky Mountain J. Math. 50, no. 3 (2020), 941-946
The Newton–Girard Formula allows one to write any elementary symmetric polynomial as a sum of products of power sum symmetric polynomials and elementary symmetric polynomials of lesser degree. It has numerous applications. We have generalized this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f31d2af6af81101187206f7231a202f6
https://doi.org/10.1216/rmj.2020.50.941
https://doi.org/10.1216/rmj.2020.50.941
Autor:
Amanda Croan, Samuel Chamberlin
Publikováno v:
Involve, a Journal of Mathematics. 10:573-581
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fbf08dcfbe917c9cd7a620710708eddd
https://doi.org/10.2140/involve.2017.10.573
https://doi.org/10.2140/involve.2017.10.573
Autor:
Irfan Bagci, Samuel Chamberlin
Publikováno v:
Algebras and Representation Theory. 19:895-911
Let 𝔤 be a finite dimensional complex simple Lie superalgebra of Cartan type and A be a commutative, associative algebra with unity over ℂ. We refer to the Lie superalgebras of the form 𝔤 ⊗ A as Cartan map superalgebras. In this paper, foll
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7d7067de56227ed8a53e91f3d512493c
https://doi.org/10.1007/s10468-016-9603-x
https://doi.org/10.1007/s10468-016-9603-x
Autor:
Angelo Bianchi, Samuel Chamberlin
Publikováno v:
Journal of Algebra and Its Applications. 20:2140007
We investigate the representations of the hyperalgebras associated to the map algebras $\mathfrak g\otimes \mathcal A$, where $\mathfrak g$ is any finite-dimensional complex simple Lie algebra and $\mathcal A$ is any associative commutative unitary a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72999f7b4bb56f9e30b9f92be247a529
https://doi.org/10.1142/s0219498821400077
https://doi.org/10.1142/s0219498821400077
Autor:
Samuel Chamberlin
Publikováno v:
Journal of Algebra. 377:232-249
Given a finite-dimensional, simple Lie algebra g over C and A, a commutative, associative algebra with unityover C , we exhibit a Z -form for the universalenveloping algebra of the map algebra for g and anexplicit Z -basis for this Z -form. We also p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b071a79a5aa7dd4c2e7ee80954f1c66e
https://doi.org/10.1016/j.jalgebra.2012.11.046
https://doi.org/10.1016/j.jalgebra.2012.11.046
Autor:
Irfan Bagci, Samuel Chamberlin
Let $\mathfrak{g}$ be a finite dimensional complex simple classical Lie superalgebra and $A$ be a commutative, associative algebra with unity over $\mathbb{C}$. In this paper we define an integral form for the universal enveloping algebra of the map
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d02e25bc499c77176aaf096584a97884
