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Analysis of institutional authors

Rueda SCorresponding Author

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April 6, 2020
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Some algebras similar to the enveloping algebra of sl(2)

Publicated to:Communications In Algebra. 30 (3): 1127-1152 - 2002-03-01 30(3), DOI: 10.1081/AGB-120004866

Authors: Rueda S

Affiliations

University of Wisconsin-Milwaukee - Author

Abstract

Consider the algebra R = ℂ[A, B, H] subject to relations HA - AH = A, HB - BH = - B, AB - ςBA = f(H). where f ∈ ℂ[x] and ς ∈ ℂ, ς ≠ 0. We study these algebras for different f and ς. We study highest weight modules and finite dimensional simple modules. We introduce the categories O(p) with p ≥ 1, with an interesting decomposition in categories OI(p) and OII(p). We also consider the BGG-category O and develop new techniques towards the study of O.

Keywords

Algebra and number theoryMatemática / probabilidade e estatísticaMathematics

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Communications In Algebra due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2002, it was in position , thus managing to position itself as a Q2 (Segundo Cuartil), in the category Algebra and Number Theory. Notably, the journal is positioned en el Cuartil Q3 for the agency WoS (JCR) in the category Mathematics.

From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 2.17, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Jul 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-07-16, the following number of citations:

  • WoS: 9
  • Scopus: 14
  • Open Alex: 15

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-07-16:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 2 (PlumX).

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: United States of America.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (RUEDA PEREZ, SONIA LUISA) and Last Author (RUEDA PEREZ, SONIA LUISA).

the author responsible for correspondence tasks has been RUEDA PEREZ, SONIA LUISA.