## W. K. Clifford Prize 2014 – CALL FOR NOMINATIONS.

The W. K. Clifford Prize is an international scientific prize for young researchers, which intends to encourage them to compete for excellence in theoretical and applied Clifford algebras, their analysis and geometry. The award consists of a written certificate, a one year online access to the Clifford algebra related journals, a book token worth € 150 and a cash award of € 1000. The laureate is also offered the opportunity to give the special W. K. Clifford Prize Lecture at University College London, where W. K. Clifford held the first Goldsmid Chair from 1871 until his untimely death in 1879.

The next W. K.  Clifford Prize will be awarded at the 10th Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA10) at Tartu (Estonia) in 2014.

Send nominations to the Secretary at secretary@wkcliffordprize.org . Nominations are due by 30 September 2013.

For details see http://www.wkcliffordprize.org .

## ISAAC 9 @ Krakow.

The Isaac Congress will take place in Krakow, Poland, from August 5 till August 9 2013. Detailed informations are available on the website http://www.isaac2013.up.krakow.pl/awar.php.

## Away from Office & from the Country.

From January 17 2013 till February 8 2013, I will be away from office  and from the country in a research guest stay to Instituto de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinhas, Brazil.

If you have further urgency in contact me, use the code number (+351), whenever you want to call me by mobile or alternatively, send me your e-mail correspondence to nelsonDOTfaustinoATymailDOTcom.

Many thanks for your understanding.

Kind regards,

Nelson José Rodrigues Faustino

BTW. Replace “DOT” by “.” and “AT” by “@” on “nelsonDOTfaustinoATymailDOTcom”.

## CACAA Journal

Clifford Analysis, Clifford Algebras and their Applications (CACAA) publishes high-quality, peer-reviewed original research papers as well as expository and survey articles of exceptional quality within the scope of Clifford Analysis, Clifford algebras, quaternion analysis, and their applications to pure and applied mathematics, physics, and engineering. Articles that interact with related fields are welcome, as long as their content is relevant to approximation and wavelet theory, probability, statistics, time frequency analysis and image processing, numerical mathematics, and robotics applications, applications of Clifford Algebras and Clifford Analysis in Quantum Mechanics, applications of Clifford Algebras at human perceptive – cognitive level, applications of Clifford Algebras in nonlinear chaotic deterministic systems, applications of Clifford Algebras in analysis of coding and noncoding sequences of DNA.

The Journal aims to cover the latest outstanding developments in Clifford algebras, Clifford and quaternion analyses, and to explore new connections between different research areas.

CACAA is currently indexed in Current Mathematics Publications, Mathematical Reviews, MathCAD, USSR Academy of Sciences and Zentralblatt fur Mathematic/Mathematics Abstracts/MATH Database

## Flashback-“On a correspondence principle between discrete differential forms, graph structure and multi-vector calculus on symmetric lattices”

Although the report On a correspondence principle between discrete differential forms, graph structure and multi-vector calculus on symmetric lattices were never published in a journal, this report is itself a good recipee to start studying discrete counterparts of Dirac operators in interrelationship with differential forms and differential calculus.

The new report that I’m still writting is intend to clean up all of the aspects within Section 4 (pp. 16-21), with the goal to give a meaningful description for the so-called discrete monogenic solutions carrying the discrete Dirac operator, i.e. the null solutions of the operator $\partial_X$ defined viz formula  $(48)$  (pp. 18). The main novelty of this approach against other approaches (see e.g  discrete function theory based on Skew-Weyl relations) is the replacement of the so-called (Skew-)Weyl relations carrying a certain Heisenberg-type group of dimension $2n+1$ by the canonical relations carrying the Lie algebra $\mathfrak{sl}(2n,\mathbb{R})$ intriguing on the structure of the (symmetrized) multiplication operators of the type

• $f(x) \mapsto (x_j+h/2) f(x+h)$,
• $f(x) \mapsto (x_j-h/2) f(x-h)$,
• $f(x) \mapsto x_j f(x)$.

Taking this alternative [but interesting] route, it will be possible to describe afterwards the discrete Clifford operators as a canonical realization of the orthosymplectic Lie algebra $\mathfrak{osp}(1|2)$ in a similar fashion of what was done in the above papers:

## Discrete Clifford Analysis-The Linkedin Network Group.

The aim of this group is to spread out information related with the research topic of “[Discrete] Clifford Analysis”.
People interested on this research topic or with ongoing research interests around are welcome to join in.

Keywords: function theory,special functions,quantum mechanics,combinatorics,numerical analysis,lie algebras,potential theory.