Evaluations of multilinear polynomials on low rank Jordan algebras

Sergey Malev; Roman Yavich; Roee Shayer

doi:10.1080/00927872.2021.2021221

Evaluations of multilinear polynomials on low rank Jordan algebras

Sergey Malev
, Roman Yavich
, Roee Shayer

Department of Mathematics

نتاج البحث: نشر في مجلة › مقالة › مراجعة النظراء

8 اقتباسات (Scopus)

ملخص

In this paper, we prove the generalized Kaplansky conjecture for Jordan algebras of the type J_n, in particular for self-adjoint 2 × 2 matrices over (Formula presented.) over (Formula presented.) (Formula presented.) and (Formula presented.) In fact, we prove that the image of multilinear polynomial must be either {0}, (Formula presented.) the space V of pure elements, or J_n.

اللغة الأصلية	الإنجليزيّة
الصفحات (من إلى)	2840-2845
عدد الصفحات	6
دورية	Communications in Algebra
مستوى الصوت	50
رقم الإصدار	7
المعرِّفات الرقمية للأشياء	https://doi.org/10.1080/00927872.2021.2021221
حالة النشر	نُشِر - 2022

الوصول إلى المستند

10.1080/00927872.2021.2021221

الملفات والروابط الأخرى

Link to publication in Scopus

قم بذكر هذا

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title = "Evaluations of multilinear polynomials on low rank Jordan algebras",

abstract = "In this paper, we prove the generalized Kaplansky conjecture for Jordan algebras of the type Jn, in particular for self-adjoint 2 × 2 matrices over (Formula presented.) over (Formula presented.) (Formula presented.) and (Formula presented.) In fact, we prove that the image of multilinear polynomial must be either \{0\}, (Formula presented.) the space V of pure elements, or Jn.",

keywords = "Jordan algebra, Lvov–Kaplansky conjecture, non-associative polynomials",

author = "Sergey Malev and Roman Yavich and Roee Shayer",

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year = "2022",

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T1 - Evaluations of multilinear polynomials on low rank Jordan algebras

AU - Malev, Sergey

AU - Yavich, Roman

AU - Shayer, Roee

PY - 2022

Y1 - 2022

N2 - In this paper, we prove the generalized Kaplansky conjecture for Jordan algebras of the type Jn, in particular for self-adjoint 2 × 2 matrices over (Formula presented.) over (Formula presented.) (Formula presented.) and (Formula presented.) In fact, we prove that the image of multilinear polynomial must be either {0}, (Formula presented.) the space V of pure elements, or Jn.

AB - In this paper, we prove the generalized Kaplansky conjecture for Jordan algebras of the type Jn, in particular for self-adjoint 2 × 2 matrices over (Formula presented.) over (Formula presented.) (Formula presented.) and (Formula presented.) In fact, we prove that the image of multilinear polynomial must be either {0}, (Formula presented.) the space V of pure elements, or Jn.

KW - Jordan algebra

KW - Lvov–Kaplansky conjecture

KW - non-associative polynomials

UR - https://www.scopus.com/pages/publications/85120762595

U2 - 10.1080/00927872.2021.2021221

DO - 10.1080/00927872.2021.2021221

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AN - SCOPUS:85120762595

SN - 0092-7872

VL - 50

SP - 2840

EP - 2845

JO - Communications in Algebra

JF - Communications in Algebra

IS - 7

ER -

Evaluations of multilinear polynomials on low rank Jordan algebras

ملخص

الوصول إلى المستند

الملفات والروابط الأخرى

بصمة

قم بذكر هذا