Murnaghan–Nakayama Rule and Spin Bitrace for the Hecke–Clifford Algebra

نویسندگان

چکیده

Abstract A Pfaffian-type Murnaghan–Nakayama rule is derived for the Hecke–Clifford algebra $\mathcal{H}^{c}_{n}$ based on Frobenius formula and vertex operators, this leads to a combinatorial version via tableaux realization of Schur’s $Q$-functions. As consequence, general irreducible characters $\zeta ^{\lambda }_{\mu }(q)$ using partition-valued functions derived. Meanwhile, an iterative indexing partition $\lambda $ Pieri also deduced. applications, some compact formulae are given special partitions symmetric property character found. We introduce spin bitrace as analogue Hecke derive its formula. Tables listed $n\leq 7.$

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

the search for the self in becketts theatre: waiting for godot and endgame

this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...

15 صفحه اول

Combining Computer Algebra and Rule Based Reasoning

We present extended term rewriting systems as a means to describe a simpliication relation for an equational speciication with a built-in domain of external objects. Even if the extended term rewriting system is canonical, the combined relation including built-in computations of`ground terms' needs neither be terminating nor connuent. We investigate restrictions on the extended term rewriting s...

متن کامل

An Electron Spin Resonance Selection Rule for Spin-Gapped Systems

The direct electron spin resonance (ESR) absorption between a singlet ground state and the triplet excited states of spin gap systems is investigated. Such an absorption, which is forbidden by the conservation of the total spin quantum number in isotropic Hamiltonians, is allowed by the Dzyaloshinskii-Moriya interaction. We show a selection rule in the presence of this interaction, using the ex...

متن کامل

developing a pattern based on speech acts and language functions for developing materials for the course “ the study of islamic texts translation”

هدف پژوهش حاضر ارائه ی الگویی بر اساس کنش گفتار و کارکرد زبان برای تدوین مطالب درس "بررسی آثار ترجمه شده ی اسلامی" می باشد. در الگوی جدید، جهت تدوین مطالب بهتر و جذاب تر، بر خلاف کتاب-های موجود، از مدل های سطوح گفتارِ آستین (1962)، گروه بندی عملکردهای گفتارِ سرل (1976) و کارکرد زبانیِ هالیدی (1978) بهره جسته شده است. برای این منظور، 57 آیه ی شریفه، به صورت تصادفی از بخش-های مختلف قرآن انتخاب گردید...

15 صفحه اول

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2023

ISSN: ['1687-0247', '1073-7928']

DOI: https://doi.org/10.1093/imrn/rnad158