Nonassociative algebras and applications HOME

Nonassociative algebras and applications

1. Idempotent geometry in generic algebrass, Adv. Appl. Clifford Algebr., 2018, 28:84
Available on [arXiv:1802.04994] ,   (with Yakov Krasnov)
2. On an extremal property of Jordan algebras of Clifford type, Comm. Algebra, to appear, 2018, Available on [arXiv:1802.04994] ,
3. Variety of idempotents in nonassociative algebras, Modern Trends in Hypercomplex Analysis, Trends Math. Birkhauser/Springer, 2018, to appear. Available on [arXiv:1801.00617] ,   (with Yakov Krasnov)
4. A correction of the decomposability result in a paper by Meyer-Neutsch, Journal of Algebra, 2018, 504: 432-439 [arXiv:1503.03234] ,
5. Nonlinear Elliptic Equations and Nonassociative Algebras   (with N. Nadirashvili and S. Vlăduţ),
AMS Mathematical Surveys and Monographs, Vol. 200, 2014; 240 pp

6. A Jordan algebra approach to the eiconal equation,
Journal of Algebra, 2014, 419:34-51 [arXiv:1211.7223]

7. A note on isoparametric polynomials,
Analysis and Mathematical Physics, 2014, 4(3):237-245 [arXiv:1209.0155]

8. Non-classical solution to Hessian equation from Cartan isoparametric cubic   (with N. Nadirashvili and S. Vlăduţ),
Advances in Mathematics, 2012, 231(3/4):1589-1597 [arXiv:1211.7223]

9. Minimal cubic cones via Clifford algebras,
Complex Anal. and Operator Theory, 2010, 4(3): 685-700 [arxiv:1003.0215]

10. A generalization of Cartan's theorem on isoparametric cubics,
Proc. Amer. Math. Soc., 2010, 138(8):2889-2895 [arxiv:1001.2387]

11. On a classification of minimal cubic cones in $$\mathbb{R}^n$$, preprint, arxiv:1009.5409