Some Remarks About the Cyclic Homology of Skew PBW Extensions / Algunas observaciones sobre la homología cíclica de extensiones PBW torcidas

Autores/as

  • Héctor Julio Suárez Suárez Universidad Nacional de Colombia sede Bogotá Universidad Pedagógica y Tecnológica de Colombia
  • Milton Armando Reyes Villamil Universidad Nacional de Colombia, sede Bogotá.

DOI:

https://doi.org/10.19053/01217488.v7.n2.2016.4219

Palabras clave:

Cyclic homology, filtered rings, skew PBW extensions

Resumen

Abstract

We study the cyclic homology for a class of noncommutative polynomial rings known as skew
PBW extensions. We obtain explicit computations for some important families of such extensions
over fields. In particular, we consider the cyclic homology of skew PBW extensions of
derivation type, certain classes of Ore extensions, operator algebras, difusion algebras, quantum
algebras and 3-dimensional skew polynomial algebras.

 

Resumen

Estudiamos la homología cíclica de una clase de anillos de polinomios no conmutativos denominados
extensiones PBW torcidas. Obtenemos cálculos explícitos para algunas familias importantes de este tipo
de extensiones sobre cuerpos. En particular, consideramos la homología cíclica de las extensiones PBW
torcidas de tipo derivación, ciertas clases de extensiones de Ore, álgebras de operadores, álgebras de difusión, álgebras cuánticas y álgebras de polinomios torcidos 3-dimensionales.



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Referencias

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Publicado

2016-11-15

Cómo citar

Suárez Suárez, H. J., & Reyes Villamil, M. A. (2016). Some Remarks About the Cyclic Homology of Skew PBW Extensions / Algunas observaciones sobre la homología cíclica de extensiones PBW torcidas. Ciencia En Desarrollo, 7(2), 99–108. https://doi.org/10.19053/01217488.v7.n2.2016.4219

Número

Sección

Artículos de investigación / Research papers

Métrica