کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8896942 1630624 2018 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The L-algebra of Hurwitz primes
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The L-algebra of Hurwitz primes
چکیده انگلیسی
Conway and Smith proved that up to recombination of conjugate primes and migration of units, the only obstruction to unique factorization in the ring of Hurwitz integers in the quaternions is metacommutation of primes with distinct norm. We show that the Hurwitz primes form a discrete L⁎-algebra, a quantum structure which provides a general explanation for metacommutation. L-algebras arise in the theory of Artin-Tits groups, quantum logic, and in connection with solutions of the quantum Yang-Baxter equation. It is proved that every discrete L⁎-algebra admits a natural embedding into a right ℓ-group, which yields a new class of Garside groups.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 190, September 2018, Pages 394-413
نویسندگان
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