Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
BGG category for quantum Schrödinger algebra
View through CrossRef
The quantum Schrödinger algebra is a quantized universal enveloping algebra of the (centrally extended) Schrödinger algebra. It can be realized as the smash product of the quantum group [Formula: see text] and its a module algebra. For generic [Formula: see text], in this paper we study the BGG category [Formula: see text] for the quantum Schrödinger algebra. Then we use the result to determine its center, which is a polynomial ring in two variables.
Title: BGG category for quantum Schrödinger algebra
Description:
The quantum Schrödinger algebra is a quantized universal enveloping algebra of the (centrally extended) Schrödinger algebra.
It can be realized as the smash product of the quantum group [Formula: see text] and its a module algebra.
For generic [Formula: see text], in this paper we study the BGG category [Formula: see text] for the quantum Schrödinger algebra.
Then we use the result to determine its center, which is a polynomial ring in two variables.
Related Results
Advanced frameworks for fraud detection leveraging quantum machine learning and data science in fintech ecosystems
Advanced frameworks for fraud detection leveraging quantum machine learning and data science in fintech ecosystems
The rapid expansion of the fintech sector has brought with it an increasing demand for robust and sophisticated fraud detection systems capable of managing large volumes of financi...
Advancements in Quantum Computing and Information Science
Advancements in Quantum Computing and Information Science
Abstract: The chapter "Advancements in Quantum Computing and Information Science" explores the fundamental principles, historical development, and modern applications of quantum co...
Quantum Computing Techniques for Numerical Linear Algebra in Computational Mathematics
Quantum Computing Techniques for Numerical Linear Algebra in Computational Mathematics
Quantum computing is a new and exciting area of computational mathematics that has the ability to solve very hard problems that traditional computing methods have not been able to ...
Integrating quantum neural networks with machine learning algorithms for optimizing healthcare diagnostics and treatment outcomes
Integrating quantum neural networks with machine learning algorithms for optimizing healthcare diagnostics and treatment outcomes
The rapid advancements in artificial intelligence (AI) and quantum computing have catalyzed an unprecedented shift in the methodologies utilized for healthcare diagnostics and trea...
Quantum information outside quantum information
Quantum information outside quantum information
Quantum theory, as counter-intuitive as a theory can get, has turned out to make predictions of the physical world that match observations so precisely that it has been described a...
Revolutionizing multimodal healthcare diagnosis, treatment pathways, and prognostic analytics through quantum neural networks
Revolutionizing multimodal healthcare diagnosis, treatment pathways, and prognostic analytics through quantum neural networks
The advent of quantum computing has introduced significant potential to revolutionize healthcare through quantum neural networks (QNNs), offering unprecedented capabilities in proc...
Graded Quantum Noise in Quantum Field Theories
Graded Quantum Noise in Quantum Field Theories
The aim of this article is to introduce into quantum field theory, \(\Bbb Z_n\times\Bbb Z_n\) graded quantum stochastic calculus with the aim of generalizing supersymmetric quantum...
Quantum metamaterials: Applications in quantum information science
Quantum metamaterials: Applications in quantum information science
Metamaterials are a class of artificially engineered materials with periodic structures possessing exceptional properties not found in conventional materials. This definition can b...