Show that for a four-dimensional cartesian space ((x, y, z, t)) the operators which is the algebra
Question:
Show that for a four-dimensional cartesian space \((x, y, z, t)\) the operators
which is the algebra associated with the group \(\mathrm{SO}(4)\). Show that this \(\mathrm{SO}(4)\) is locally isomorphic to \(\mathrm{SU}(2) \times \mathrm{SU}(2)\) by showing that the new operator set,
Transcribed Image Text:
M = z a a a y M = x - M3 = y x z z a N = y - 1 a - N3 = 2 - - t N = X a - - obey the Lie algebra [Mi, M;] Eijk Mk [Mi, Nj] = ijk Nk [Ni, Nj] = Eijk Mk,
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (3 reviews)
The commutat...View the full answer
Answered By
Saikumar Ramagiri
Financial accounting:- Journal and ledgers, preparation of trail balance and adjusted trail balance Preparation of income statement, retained earning statement and balance sheet Banks reconciliation statements Financial statement analysis Cash flow statement analysis (both direct and indirect methods) All methods of Depreciations Management Accounting:- Ratios Budgeting control Cash budget and production budget Working capital management Receivable management Costing:- Standard and variance costing Marginal costing and decision making Cost-volume-profit analysis Inventory management (LIFO, FIFO) Preparation and estimation of cost sheet Portfolio management:- Calculation of portfolio standard deviation or risk Calculation of portfolio expected returns CAPM, Beta Financial management:- Time value of money Capital budgeting Cost of capital Leverage analysis and capital structure policies Dividend policy Bond value calculations like YTM, current yield etc International finance:- Derivatives Futures and options Swaps and forwards Business problems Finance problems Education (mention all your degrees, year awarded, Institute/University, field(s) of major): Education Qualification Board/Institution/ University Month/Year of Passing % Secured OPTIONALS/ Major ICWAI(inter) ICWAI inter Pursuing Pursuing - M.com(Finance) Osmania University June 2007 65 Finance & Taxation M B A (Finance) Osmania University Dec 2004 66 Finance & Marketing. B.Com Osmania University June 2002 72 Income Tax, Cost & Mgt, Accountancy, Auditing. Intermediate (XII) Board of Intermediate May 1999 58 Mathematics, Accountancy, Economics. S S C (X) S S C Board. May 1997 74 Mathematics, Social Studies, Science. Tutoring experience: • 10 year experience in online trouble shooting problems related to finance/accountancy. • Since 6 Years working with solution inn as a tutor, I have solved thousands of questions, quick and accuracy Skills (optional): Technical Exposure: MS Office, SQL, Tally, Wings, Focus, Programming with C Financial : Portfolio/Financial Management, Ratio Analysis, Capital Budgeting Stock Valuation & Dividend Policy, Bond Valuations Individual Skills : Proactive Nature, Self Motivative, Clear thought process, Quick problem solving skills, flexible to complex situations. Achievements : 1. I have received an Award certificate from Local Area MLA for the cause of getting 100% marks in Accountancy during my Graduation. 2. I have received a GOLD MEDAL/Scholarship from Home Minister in my MBA for being the “Top Rank student “ of management institute. 3. I received numerous complements and extra pay from various students for trouble shooting their online problems. Other interests/Hobbies (optional): ? Web Surfing ? Sports ? Watching Comics, News channels ? Miniature Collection ? Exploring hidden facts ? Solving riddles and puzzles
4.80+
391+ Reviews
552+ Question Solved
Related Book For
Symmetry Broken Symmetry And Topology In Modern Physics A First Course
ISBN: 9781316518618
1st Edition
Authors: Mike Guidry, Yang Sun
Question Posted:
Students also viewed these Sciences questions
-
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
-
CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
-
answer the question clearly You are building a flight-control system for which a convincing safety case must be made. Would you assign the tasks of safety requirements engineering, test case...
-
1. The following are selected accounts taken from the adjusted trial balances of the Purell Merchandise company on December 31, 2021: Inventory, January 1, 2021 Selling expenses Loss on sale of...
-
Fu Company is owned and operated by Jeremy Fu. The following errors were found in the company's journal: 1. The purchase of $700 of supplies on account was recorded as a debit to Supplies Expense and...
-
Valuing Bonds The Morgan Corporation has two different bonds currently outstanding. Bond M has a face value of $30,000 and matures in 20 years. The bond makes no payments for the first six years,...
-
P6-1 Downstream sale of land Rashed QSC is a 90 percent-owned subsidiary of Nase QSC. The separate trial balance for the year ended in 2014 for both companies is as follows: Debits Nase QSC Rashed...
-
Stiever Industries manufactures and sells three different models of wet-dry shop vacuum cleaners. Although the shop vacs vary in terms of quality and features, all are good sellers. Stiever is...
-
Keggler's Supply is a merchandiser of three different products. Beginning inventories for March are footwear, 19,500 units; sports gear, 78,000 units; and apparel, 48,500 units. Management believes...
-
Show that the structure constants \(f_{a b c}\) appearing in Eq. (3.3) are real if the generators of the Lie algebra are hermitian. Data from Eq. (3.3) [Xa, Xb]=ifabe Xc = [A, B] AB BA,
-
Prove Schur's lemma: a matrix that commutes with all generators of an irrep is a multiple of the unit matrix. Hint: Assume that \(\left[T_{a}, M ight]=0\) for all \(a\), where \(T_{a}\) is a group...
-
Kurian Industries' balance sheet at December 31, 2011, follows. KURIAN INDUSTRIES Balance Sheet December 31, 2011 Assets Budgeted data for the year 2012 include the following:...
-
Carol's Cupcakes has grown from a home business into a one of the largest event and wedding catering companies in the area. Its founder, Carol Thompson, first dreamed of owning her own company while...
-
Many things have changed for businesses in 2022. The previous 2 business years of 2020 and 2021 have tested businesses and the workforce like nothing else. Not only were profits reduced, and...
-
1) Virginia Tech's motto is "Ut Prosim" which means 'That I May Serve'. Share how you contribute to a community that is important to you. How long have you been involved? What have you learned and...
-
Person Is Arianna Grande Answer all questions Who are they? How successful are they? Why would companies be interested in partnering with them? Identify one company from their industry that you feel...
-
Imagine you have just retired after a long and very successful career (as a physiotherapist). Congratulations! You've made such an impact in the world that business and community leaders from around...
-
The Hershey Company is one of the worlds leading producers of chocolates, candies, and confections. It sells chocolates and candies, mints and gums, baking ingredients, toppings, and beverages....
-
Players A, B, and C toss a fair coin in order. The first to throw a head wins. What are their respective chances of winning?
-
Long-term liabilities are shown in two places in the business firm's balance sheet depending upon when the long-term liabilities are scheduled for payment. True False
-
Julio is single with 1 withholding allowance. He earned $1,025.00 during the most recent semimonthly pay period. He needs to decide between contributing 3% and $30 to his 401(k) plan. If he chooses...
-
Acquirer firm plans to launch a takeover of Target firm. The manager of Acquirer indicates that the deal will increase the free cash flow of the combined business by $13.6m per year forever. The beta...
Study smarter with the SolutionInn App